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Finding the Third Proportional to 434,612 and 664,887

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Solution

The third proportional to 434,612 and 664,887 is: 1,017,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,612 : 664,887 = 664,887 : x
  2. Step 2: Convert to fraction form
    434,612/664,887 = 664,887/x
  3. Step 3: Cross multiply
    434,612x = 664,887 × 664,887
  4. Step 4: Simplify right side
    434,612x = 442,074,722,769
  5. Step 5: Solve for x
    x = 442,074,722,769/434,612
  6. Step 6: Final answer
    x = 1,017,171.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.