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Finding the Third Proportional to 106,525.13 and 229,657.78

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Solution

The third proportional to 106,525.13 and 229,657.78 is: 495,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.13 : 229,657.78 = 229,657.78 : x
  2. Step 2: Convert to fraction form
    106,525.13/229,657.78 = 229,657.78/x
  3. Step 3: Cross multiply
    106,525.13x = 229,657.78 × 229,657.78
  4. Step 4: Simplify right side
    106,525.13x = 52,742,696,488.67
  5. Step 5: Solve for x
    x = 52,742,696,488.67/106,525.13
  6. Step 6: Final answer
    x = 495,119.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.