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Finding the Third Proportional to 131,057.16 and 201,377.81

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Solution

The third proportional to 131,057.16 and 201,377.81 is: 309,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,057.16 : 201,377.81 = 201,377.81 : x
  2. Step 2: Convert to fraction form
    131,057.16/201,377.81 = 201,377.81/x
  3. Step 3: Cross multiply
    131,057.16x = 201,377.81 × 201,377.81
  4. Step 4: Simplify right side
    131,057.16x = 40,553,023,367.29
  5. Step 5: Solve for x
    x = 40,553,023,367.29/131,057.16
  6. Step 6: Final answer
    x = 309,430.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.