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Finding the Third Proportional to 341,028,973,796 and 733,781,288,768

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Solution

The third proportional to 341,028,973,796 and 733,781,288,768 is: 1,578,854,059,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,028,973,796 : 733,781,288,768 = 733,781,288,768 : x
  2. Step 2: Convert to fraction form
    341,028,973,796/733,781,288,768 = 733,781,288,768/x
  3. Step 3: Cross multiply
    341,028,973,796x = 733,781,288,768 × 733,781,288,768
  4. Step 4: Simplify right side
    341,028,973,796x = 538,434,979,746,026,979,590,144
  5. Step 5: Solve for x
    x = 538,434,979,746,026,979,590,144/341,028,973,796
  6. Step 6: Final answer
    x = 1,578,854,059,679.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.