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Finding the Third Proportional to 72,486 and 149,943

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Solution

The third proportional to 72,486 and 149,943 is: 310,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,486 : 149,943 = 149,943 : x
  2. Step 2: Convert to fraction form
    72,486/149,943 = 149,943/x
  3. Step 3: Cross multiply
    72,486x = 149,943 × 149,943
  4. Step 4: Simplify right side
    72,486x = 22,482,903,249
  5. Step 5: Solve for x
    x = 22,482,903,249/72,486
  6. Step 6: Final answer
    x = 310,168.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.