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Finding the Third Proportional to 240,770 and 521,663

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Solution

The third proportional to 240,770 and 521,663 is: 1,130,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,770 : 521,663 = 521,663 : x
  2. Step 2: Convert to fraction form
    240,770/521,663 = 521,663/x
  3. Step 3: Cross multiply
    240,770x = 521,663 × 521,663
  4. Step 4: Simplify right side
    240,770x = 272,132,285,569
  5. Step 5: Solve for x
    x = 272,132,285,569/240,770
  6. Step 6: Final answer
    x = 1,130,258.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.