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Finding the Third Proportional to 71,448 and 153,984

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Solution

The third proportional to 71,448 and 153,984 is: 331,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,448 : 153,984 = 153,984 : x
  2. Step 2: Convert to fraction form
    71,448/153,984 = 153,984/x
  3. Step 3: Cross multiply
    71,448x = 153,984 × 153,984
  4. Step 4: Simplify right side
    71,448x = 23,711,072,256
  5. Step 5: Solve for x
    x = 23,711,072,256/71,448
  6. Step 6: Final answer
    x = 331,864.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.