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Finding the Third Proportional to 425,594 and 643,467

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Solution

The third proportional to 425,594 and 643,467 is: 972,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,594 : 643,467 = 643,467 : x
  2. Step 2: Convert to fraction form
    425,594/643,467 = 643,467/x
  3. Step 3: Cross multiply
    425,594x = 643,467 × 643,467
  4. Step 4: Simplify right side
    425,594x = 414,049,780,089
  5. Step 5: Solve for x
    x = 414,049,780,089/425,594
  6. Step 6: Final answer
    x = 972,875.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.