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Finding the Third Proportional to 137,637 and 181,386

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Solution

The third proportional to 137,637 and 181,386 is: 239,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,637 : 181,386 = 181,386 : x
  2. Step 2: Convert to fraction form
    137,637/181,386 = 181,386/x
  3. Step 3: Cross multiply
    137,637x = 181,386 × 181,386
  4. Step 4: Simplify right side
    137,637x = 32,900,880,996
  5. Step 5: Solve for x
    x = 32,900,880,996/137,637
  6. Step 6: Final answer
    x = 239,040.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.