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Finding the Third Proportional to 51,981.38 and 82,637.81

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Solution

The third proportional to 51,981.38 and 82,637.81 is: 131,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.38 : 82,637.81 = 82,637.81 : x
  2. Step 2: Convert to fraction form
    51,981.38/82,637.81 = 82,637.81/x
  3. Step 3: Cross multiply
    51,981.38x = 82,637.81 × 82,637.81
  4. Step 4: Simplify right side
    51,981.38x = 6,829,008,054.79
  5. Step 5: Solve for x
    x = 6,829,008,054.79/51,981.38
  6. Step 6: Final answer
    x = 131,374.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.