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Finding the Third Proportional to 619,866 and 908,560

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Solution

The third proportional to 619,866 and 908,560 is: 1,331,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,866 : 908,560 = 908,560 : x
  2. Step 2: Convert to fraction form
    619,866/908,560 = 908,560/x
  3. Step 3: Cross multiply
    619,866x = 908,560 × 908,560
  4. Step 4: Simplify right side
    619,866x = 825,481,273,600
  5. Step 5: Solve for x
    x = 825,481,273,600/619,866
  6. Step 6: Final answer
    x = 1,331,709.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.