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Finding the Third Proportional to 138,417.61 and 197,936.16

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Solution

The third proportional to 138,417.61 and 197,936.16 is: 283,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417.61 : 197,936.16 = 197,936.16 : x
  2. Step 2: Convert to fraction form
    138,417.61/197,936.16 = 197,936.16/x
  3. Step 3: Cross multiply
    138,417.61x = 197,936.16 × 197,936.16
  4. Step 4: Simplify right side
    138,417.61x = 39,178,721,951.02
  5. Step 5: Solve for x
    x = 39,178,721,951.02/138,417.61
  6. Step 6: Final answer
    x = 283,047.24

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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.