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Finding the Third Proportional to 71,307 and 153,669

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Solution

The third proportional to 71,307 and 153,669 is: 331,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,307 : 153,669 = 153,669 : x
  2. Step 2: Convert to fraction form
    71,307/153,669 = 153,669/x
  3. Step 3: Cross multiply
    71,307x = 153,669 × 153,669
  4. Step 4: Simplify right side
    71,307x = 23,614,161,561
  5. Step 5: Solve for x
    x = 23,614,161,561/71,307
  6. Step 6: Final answer
    x = 331,161.90

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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.