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Finding the Third Proportional to 420,828 and 609,129

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Solution

The third proportional to 420,828 and 609,129 is: 881,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,828 : 609,129 = 609,129 : x
  2. Step 2: Convert to fraction form
    420,828/609,129 = 609,129/x
  3. Step 3: Cross multiply
    420,828x = 609,129 × 609,129
  4. Step 4: Simplify right side
    420,828x = 371,038,138,641
  5. Step 5: Solve for x
    x = 371,038,138,641/420,828
  6. Step 6: Final answer
    x = 881,685.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.