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Finding the Third Proportional to 71,035 and 153,140

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Solution

The third proportional to 71,035 and 153,140 is: 330,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,035 : 153,140 = 153,140 : x
  2. Step 2: Convert to fraction form
    71,035/153,140 = 153,140/x
  3. Step 3: Cross multiply
    71,035x = 153,140 × 153,140
  4. Step 4: Simplify right side
    71,035x = 23,451,859,600
  5. Step 5: Solve for x
    x = 23,451,859,600/71,035
  6. Step 6: Final answer
    x = 330,145.13

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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.