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Finding the Third Proportional to 137,120.34 and 201,712.78

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Solution

The third proportional to 137,120.34 and 201,712.78 is: 296,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120.34 : 201,712.78 = 201,712.78 : x
  2. Step 2: Convert to fraction form
    137,120.34/201,712.78 = 201,712.78/x
  3. Step 3: Cross multiply
    137,120.34x = 201,712.78 × 201,712.78
  4. Step 4: Simplify right side
    137,120.34x = 40,688,046,119.61
  5. Step 5: Solve for x
    x = 40,688,046,119.61/137,120.34
  6. Step 6: Final answer
    x = 296,732.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.