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Finding the Third Proportional to 71,771 and 153,358

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Solution

The third proportional to 71,771 and 153,358 is: 327,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,771 : 153,358 = 153,358 : x
  2. Step 2: Convert to fraction form
    71,771/153,358 = 153,358/x
  3. Step 3: Cross multiply
    71,771x = 153,358 × 153,358
  4. Step 4: Simplify right side
    71,771x = 23,518,676,164
  5. Step 5: Solve for x
    x = 23,518,676,164/71,771
  6. Step 6: Final answer
    x = 327,690.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.