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Finding the Third Proportional to 359,745 and 519,729

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Solution

The third proportional to 359,745 and 519,729 is: 750,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,745 : 519,729 = 519,729 : x
  2. Step 2: Convert to fraction form
    359,745/519,729 = 519,729/x
  3. Step 3: Cross multiply
    359,745x = 519,729 × 519,729
  4. Step 4: Simplify right side
    359,745x = 270,118,233,441
  5. Step 5: Solve for x
    x = 270,118,233,441/359,745
  6. Step 6: Final answer
    x = 750,860.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.