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Finding the Third Proportional to 393,721 and 607,969

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Solution

The third proportional to 393,721 and 607,969 is: 938,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,721 : 607,969 = 607,969 : x
  2. Step 2: Convert to fraction form
    393,721/607,969 = 607,969/x
  3. Step 3: Cross multiply
    393,721x = 607,969 × 607,969
  4. Step 4: Simplify right side
    393,721x = 369,626,304,961
  5. Step 5: Solve for x
    x = 369,626,304,961/393,721
  6. Step 6: Final answer
    x = 938,802.62

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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.