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Finding the Third Proportional to 133,672 and 287,432

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Solution

The third proportional to 133,672 and 287,432 is: 618,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,672 : 287,432 = 287,432 : x
  2. Step 2: Convert to fraction form
    133,672/287,432 = 287,432/x
  3. Step 3: Cross multiply
    133,672x = 287,432 × 287,432
  4. Step 4: Simplify right side
    133,672x = 82,617,154,624
  5. Step 5: Solve for x
    x = 82,617,154,624/133,672
  6. Step 6: Final answer
    x = 618,058.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.