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Finding the Third Proportional to 55,363.50 and 129,974.63

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Solution

The third proportional to 55,363.50 and 129,974.63 is: 305,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,363.50 : 129,974.63 = 129,974.63 : x
  2. Step 2: Convert to fraction form
    55,363.50/129,974.63 = 129,974.63/x
  3. Step 3: Cross multiply
    55,363.50x = 129,974.63 × 129,974.63
  4. Step 4: Simplify right side
    55,363.50x = 16,893,403,143.89
  5. Step 5: Solve for x
    x = 16,893,403,143.89/55,363.50
  6. Step 6: Final answer
    x = 305,136.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.