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Finding the Third Proportional to 66,878 and 157,865

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Solution

The third proportional to 66,878 and 157,865 is: 372,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,878 : 157,865 = 157,865 : x
  2. Step 2: Convert to fraction form
    66,878/157,865 = 157,865/x
  3. Step 3: Cross multiply
    66,878x = 157,865 × 157,865
  4. Step 4: Simplify right side
    66,878x = 24,921,358,225
  5. Step 5: Solve for x
    x = 24,921,358,225/66,878
  6. Step 6: Final answer
    x = 372,639.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.