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Finding the Third Proportional to 71,070 and 153,078

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Solution

The third proportional to 71,070 and 153,078 is: 329,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,070 : 153,078 = 153,078 : x
  2. Step 2: Convert to fraction form
    71,070/153,078 = 153,078/x
  3. Step 3: Cross multiply
    71,070x = 153,078 × 153,078
  4. Step 4: Simplify right side
    71,070x = 23,432,874,084
  5. Step 5: Solve for x
    x = 23,432,874,084/71,070
  6. Step 6: Final answer
    x = 329,715.41

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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.