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Finding the Third Proportional to 359,960 and 787,720

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Solution

The third proportional to 359,960 and 787,720 is: 1,723,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,960 : 787,720 = 787,720 : x
  2. Step 2: Convert to fraction form
    359,960/787,720 = 787,720/x
  3. Step 3: Cross multiply
    359,960x = 787,720 × 787,720
  4. Step 4: Simplify right side
    359,960x = 620,502,798,400
  5. Step 5: Solve for x
    x = 620,502,798,400/359,960
  6. Step 6: Final answer
    x = 1,723,810.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.