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Finding the Third Proportional to 455,778 and 707,559

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Solution

The third proportional to 455,778 and 707,559 is: 1,098,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,778 : 707,559 = 707,559 : x
  2. Step 2: Convert to fraction form
    455,778/707,559 = 707,559/x
  3. Step 3: Cross multiply
    455,778x = 707,559 × 707,559
  4. Step 4: Simplify right side
    455,778x = 500,639,738,481
  5. Step 5: Solve for x
    x = 500,639,738,481/455,778
  6. Step 6: Final answer
    x = 1,098,428.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.