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Finding the Third Proportional to 68,951.25 and 148,457.81

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Solution

The third proportional to 68,951.25 and 148,457.81 is: 319,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,951.25 : 148,457.81 = 148,457.81 : x
  2. Step 2: Convert to fraction form
    68,951.25/148,457.81 = 148,457.81/x
  3. Step 3: Cross multiply
    68,951.25x = 148,457.81 × 148,457.81
  4. Step 4: Simplify right side
    68,951.25x = 22,039,722,092.29
  5. Step 5: Solve for x
    x = 22,039,722,092.29/68,951.25
  6. Step 6: Final answer
    x = 319,642.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.