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Finding the Third Proportional to 137,058 and 186,720

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Solution

The third proportional to 137,058 and 186,720 is: 254,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,058 : 186,720 = 186,720 : x
  2. Step 2: Convert to fraction form
    137,058/186,720 = 186,720/x
  3. Step 3: Cross multiply
    137,058x = 186,720 × 186,720
  4. Step 4: Simplify right side
    137,058x = 34,864,358,400
  5. Step 5: Solve for x
    x = 34,864,358,400/137,058
  6. Step 6: Final answer
    x = 254,376.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.