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Finding the Third Proportional to 359,292 and 782,372

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Solution

The third proportional to 359,292 and 782,372 is: 1,703,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,292 : 782,372 = 782,372 : x
  2. Step 2: Convert to fraction form
    359,292/782,372 = 782,372/x
  3. Step 3: Cross multiply
    359,292x = 782,372 × 782,372
  4. Step 4: Simplify right side
    359,292x = 612,105,946,384
  5. Step 5: Solve for x
    x = 612,105,946,384/359,292
  6. Step 6: Final answer
    x = 1,703,644.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.