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Finding the Third Proportional to 137,981.81 and 202,429.13

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Solution

The third proportional to 137,981.81 and 202,429.13 is: 296,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,981.81 : 202,429.13 = 202,429.13 : x
  2. Step 2: Convert to fraction form
    137,981.81/202,429.13 = 202,429.13/x
  3. Step 3: Cross multiply
    137,981.81x = 202,429.13 × 202,429.13
  4. Step 4: Simplify right side
    137,981.81x = 40,977,550,648.27
  5. Step 5: Solve for x
    x = 40,977,550,648.27/137,981.81
  6. Step 6: Final answer
    x = 296,977.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.