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Finding the Third Proportional to 401,691 and 571,068

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Solution

The third proportional to 401,691 and 571,068 is: 811,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,691 : 571,068 = 571,068 : x
  2. Step 2: Convert to fraction form
    401,691/571,068 = 571,068/x
  3. Step 3: Cross multiply
    401,691x = 571,068 × 571,068
  4. Step 4: Simplify right side
    401,691x = 326,118,660,624
  5. Step 5: Solve for x
    x = 326,118,660,624/401,691
  6. Step 6: Final answer
    x = 811,864.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.