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Finding the Third Proportional to 130,504.50 and 207,420.75

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Solution

The third proportional to 130,504.50 and 207,420.75 is: 329,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,504.50 : 207,420.75 = 207,420.75 : x
  2. Step 2: Convert to fraction form
    130,504.50/207,420.75 = 207,420.75/x
  3. Step 3: Cross multiply
    130,504.50x = 207,420.75 × 207,420.75
  4. Step 4: Simplify right side
    130,504.50x = 43,023,367,530.56
  5. Step 5: Solve for x
    x = 43,023,367,530.56/130,504.50
  6. Step 6: Final answer
    x = 329,669.61

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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.