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Finding the Third Proportional to 272,141,772 and 420,245,532

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Solution

The third proportional to 272,141,772 and 420,245,532 is: 648,949,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,141,772 : 420,245,532 = 420,245,532 : x
  2. Step 2: Convert to fraction form
    272,141,772/420,245,532 = 420,245,532/x
  3. Step 3: Cross multiply
    272,141,772x = 420,245,532 × 420,245,532
  4. Step 4: Simplify right side
    272,141,772x = 176,606,307,165,963,008
  5. Step 5: Solve for x
    x = 176,606,307,165,963,008/272,141,772
  6. Step 6: Final answer
    x = 648,949,648.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.