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Finding the Third Proportional to 400,982 and 564,170

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Solution

The third proportional to 400,982 and 564,170 is: 793,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,982 : 564,170 = 564,170 : x
  2. Step 2: Convert to fraction form
    400,982/564,170 = 564,170/x
  3. Step 3: Cross multiply
    400,982x = 564,170 × 564,170
  4. Step 4: Simplify right side
    400,982x = 318,287,788,900
  5. Step 5: Solve for x
    x = 318,287,788,900/400,982
  6. Step 6: Final answer
    x = 793,770.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.