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Finding the Third Proportional to 285,850 and 564,470

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Solution

The third proportional to 285,850 and 564,470 is: 1,114,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,850 : 564,470 = 564,470 : x
  2. Step 2: Convert to fraction form
    285,850/564,470 = 564,470/x
  3. Step 3: Cross multiply
    285,850x = 564,470 × 564,470
  4. Step 4: Simplify right side
    285,850x = 318,626,380,900
  5. Step 5: Solve for x
    x = 318,626,380,900/285,850
  6. Step 6: Final answer
    x = 1,114,662.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.