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Finding the Third Proportional to 71,130 and 153,287

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Solution

The third proportional to 71,130 and 153,287 is: 330,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130 : 153,287 = 153,287 : x
  2. Step 2: Convert to fraction form
    71,130/153,287 = 153,287/x
  3. Step 3: Cross multiply
    71,130x = 153,287 × 153,287
  4. Step 4: Simplify right side
    71,130x = 23,496,904,369
  5. Step 5: Solve for x
    x = 23,496,904,369/71,130
  6. Step 6: Final answer
    x = 330,337.47

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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.