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Finding the Third Proportional to 395,140 and 564,647

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Solution

The third proportional to 395,140 and 564,647 is: 806,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,140 : 564,647 = 564,647 : x
  2. Step 2: Convert to fraction form
    395,140/564,647 = 564,647/x
  3. Step 3: Cross multiply
    395,140x = 564,647 × 564,647
  4. Step 4: Simplify right side
    395,140x = 318,826,234,609
  5. Step 5: Solve for x
    x = 318,826,234,609/395,140
  6. Step 6: Final answer
    x = 806,869.05

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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.