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Finding the Third Proportional to 130,699.50 and 193,620

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Solution

The third proportional to 130,699.50 and 193,620 is: 286,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,699.50 : 193,620 = 193,620 : x
  2. Step 2: Convert to fraction form
    130,699.50/193,620 = 193,620/x
  3. Step 3: Cross multiply
    130,699.50x = 193,620 × 193,620
  4. Step 4: Simplify right side
    130,699.50x = 37,488,704,400
  5. Step 5: Solve for x
    x = 37,488,704,400/130,699.50
  6. Step 6: Final answer
    x = 286,831.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.