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Finding the Third Proportional to 487,816 and 1,028,768

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Solution

The third proportional to 487,816 and 1,028,768 is: 2,169,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,816 : 1,028,768 = 1,028,768 : x
  2. Step 2: Convert to fraction form
    487,816/1,028,768 = 1,028,768/x
  3. Step 3: Cross multiply
    487,816x = 1,028,768 × 1,028,768
  4. Step 4: Simplify right side
    487,816x = 1,058,363,597,824
  5. Step 5: Solve for x
    x = 1,058,363,597,824/487,816
  6. Step 6: Final answer
    x = 2,169,595.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.