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Finding the Third Proportional to 386,536 and 564,972

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Solution

The third proportional to 386,536 and 564,972 is: 825,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,536 : 564,972 = 564,972 : x
  2. Step 2: Convert to fraction form
    386,536/564,972 = 564,972/x
  3. Step 3: Cross multiply
    386,536x = 564,972 × 564,972
  4. Step 4: Simplify right side
    386,536x = 319,193,360,784
  5. Step 5: Solve for x
    x = 319,193,360,784/386,536
  6. Step 6: Final answer
    x = 825,779.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.