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Finding the Third Proportional to 71,643 and 153,861

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Solution

The third proportional to 71,643 and 153,861 is: 330,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643 : 153,861 = 153,861 : x
  2. Step 2: Convert to fraction form
    71,643/153,861 = 153,861/x
  3. Step 3: Cross multiply
    71,643x = 153,861 × 153,861
  4. Step 4: Simplify right side
    71,643x = 23,673,207,321
  5. Step 5: Solve for x
    x = 23,673,207,321/71,643
  6. Step 6: Final answer
    x = 330,432.94

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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.