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Finding the Third Proportional to 359,739 and 519,720

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Solution

The third proportional to 359,739 and 519,720 is: 750,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,739 : 519,720 = 519,720 : x
  2. Step 2: Convert to fraction form
    359,739/519,720 = 519,720/x
  3. Step 3: Cross multiply
    359,739x = 519,720 × 519,720
  4. Step 4: Simplify right side
    359,739x = 270,108,878,400
  5. Step 5: Solve for x
    x = 270,108,878,400/359,739
  6. Step 6: Final answer
    x = 750,846.80

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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.