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Finding the Third Proportional to 138,421.31 and 197,941.13

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Solution

The third proportional to 138,421.31 and 197,941.13 is: 283,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421.31 : 197,941.13 = 197,941.13 : x
  2. Step 2: Convert to fraction form
    138,421.31/197,941.13 = 197,941.13/x
  3. Step 3: Cross multiply
    138,421.31x = 197,941.13 × 197,941.13
  4. Step 4: Simplify right side
    138,421.31x = 39,180,688,966.27
  5. Step 5: Solve for x
    x = 39,180,688,966.27/138,421.31
  6. Step 6: Final answer
    x = 283,053.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.