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Finding the Third Proportional to 395,142 and 564,649

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Solution

The third proportional to 395,142 and 564,649 is: 806,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,142 : 564,649 = 564,649 : x
  2. Step 2: Convert to fraction form
    395,142/564,649 = 564,649/x
  3. Step 3: Cross multiply
    395,142x = 564,649 × 564,649
  4. Step 4: Simplify right side
    395,142x = 318,828,493,201
  5. Step 5: Solve for x
    x = 318,828,493,201/395,142
  6. Step 6: Final answer
    x = 806,870.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.