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Finding the Third Proportional to 130,903.59 and 200,162.39

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Solution

The third proportional to 130,903.59 and 200,162.39 is: 306,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,903.59 : 200,162.39 = 200,162.39 : x
  2. Step 2: Convert to fraction form
    130,903.59/200,162.39 = 200,162.39/x
  3. Step 3: Cross multiply
    130,903.59x = 200,162.39 × 200,162.39
  4. Step 4: Simplify right side
    130,903.59x = 40,064,982,620.72
  5. Step 5: Solve for x
    x = 40,064,982,620.72/130,903.59
  6. Step 6: Final answer
    x = 306,064.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.