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Finding the Third Proportional to 137,178.75 and 299,494.50

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Solution

The third proportional to 137,178.75 and 299,494.50 is: 653,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.75 : 299,494.50 = 299,494.50 : x
  2. Step 2: Convert to fraction form
    137,178.75/299,494.50 = 299,494.50/x
  3. Step 3: Cross multiply
    137,178.75x = 299,494.50 × 299,494.50
  4. Step 4: Simplify right side
    137,178.75x = 89,696,955,530.25
  5. Step 5: Solve for x
    x = 89,696,955,530.25/137,178.75
  6. Step 6: Final answer
    x = 653,869.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.