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Finding the Third Proportional to 130,742.50 and 202,026.75

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Solution

The third proportional to 130,742.50 and 202,026.75 is: 312,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,742.50 : 202,026.75 = 202,026.75 : x
  2. Step 2: Convert to fraction form
    130,742.50/202,026.75 = 202,026.75/x
  3. Step 3: Cross multiply
    130,742.50x = 202,026.75 × 202,026.75
  4. Step 4: Simplify right side
    130,742.50x = 40,814,807,715.56
  5. Step 5: Solve for x
    x = 40,814,807,715.56/130,742.50
  6. Step 6: Final answer
    x = 312,177.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.