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Finding the Third Proportional to 74,536 and 157,680

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Solution

The third proportional to 74,536 and 157,680 is: 333,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,536 : 157,680 = 157,680 : x
  2. Step 2: Convert to fraction form
    74,536/157,680 = 157,680/x
  3. Step 3: Cross multiply
    74,536x = 157,680 × 157,680
  4. Step 4: Simplify right side
    74,536x = 24,862,982,400
  5. Step 5: Solve for x
    x = 24,862,982,400/74,536
  6. Step 6: Final answer
    x = 333,570.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.