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Finding the Third Proportional to 395,931 and 564,129

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Solution

The third proportional to 395,931 and 564,129 is: 803,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,931 : 564,129 = 564,129 : x
  2. Step 2: Convert to fraction form
    395,931/564,129 = 564,129/x
  3. Step 3: Cross multiply
    395,931x = 564,129 × 564,129
  4. Step 4: Simplify right side
    395,931x = 318,241,528,641
  5. Step 5: Solve for x
    x = 318,241,528,641/395,931
  6. Step 6: Final answer
    x = 803,780.28

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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.