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Finding the Third Proportional to 259,138.69 and 392,332.50

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Solution

The third proportional to 259,138.69 and 392,332.50 is: 593,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,138.69 : 392,332.50 = 392,332.50 : x
  2. Step 2: Convert to fraction form
    259,138.69/392,332.50 = 392,332.50/x
  3. Step 3: Cross multiply
    259,138.69x = 392,332.50 × 392,332.50
  4. Step 4: Simplify right side
    259,138.69x = 153,924,790,556.25
  5. Step 5: Solve for x
    x = 153,924,790,556.25/259,138.69
  6. Step 6: Final answer
    x = 593,986.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.