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Finding the Third Proportional to 453,494 and 707,811

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Solution

The third proportional to 453,494 and 707,811 is: 1,104,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,494 : 707,811 = 707,811 : x
  2. Step 2: Convert to fraction form
    453,494/707,811 = 707,811/x
  3. Step 3: Cross multiply
    453,494x = 707,811 × 707,811
  4. Step 4: Simplify right side
    453,494x = 500,996,411,721
  5. Step 5: Solve for x
    x = 500,996,411,721/453,494
  6. Step 6: Final answer
    x = 1,104,747.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.