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Finding the Third Proportional to 359,542 and 780,197

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Solution

The third proportional to 359,542 and 780,197 is: 1,693,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,542 : 780,197 = 780,197 : x
  2. Step 2: Convert to fraction form
    359,542/780,197 = 780,197/x
  3. Step 3: Cross multiply
    359,542x = 780,197 × 780,197
  4. Step 4: Simplify right side
    359,542x = 608,707,358,809
  5. Step 5: Solve for x
    x = 608,707,358,809/359,542
  6. Step 6: Final answer
    x = 1,693,007.66

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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.