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Finding the Third Proportional to 100,479.19 and 215,528.42

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Solution

The third proportional to 100,479.19 and 215,528.42 is: 462,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,479.19 : 215,528.42 = 215,528.42 : x
  2. Step 2: Convert to fraction form
    100,479.19/215,528.42 = 215,528.42/x
  3. Step 3: Cross multiply
    100,479.19x = 215,528.42 × 215,528.42
  4. Step 4: Simplify right side
    100,479.19x = 46,452,501,056.89
  5. Step 5: Solve for x
    x = 46,452,501,056.89/100,479.19
  6. Step 6: Final answer
    x = 462,309.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.