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Finding the Third Proportional to 425,421 and 658,644.75

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Solution

The third proportional to 425,421 and 658,644.75 is: 1,019,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,421 : 658,644.75 = 658,644.75 : x
  2. Step 2: Convert to fraction form
    425,421/658,644.75 = 658,644.75/x
  3. Step 3: Cross multiply
    425,421x = 658,644.75 × 658,644.75
  4. Step 4: Simplify right side
    425,421x = 433,812,906,702.56
  5. Step 5: Solve for x
    x = 433,812,906,702.56/425,421
  6. Step 6: Final answer
    x = 1,019,726.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.