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Finding the Third Proportional to 100,218.52 and 216,101.67

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Solution

The third proportional to 100,218.52 and 216,101.67 is: 465,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,218.52 : 216,101.67 = 216,101.67 : x
  2. Step 2: Convert to fraction form
    100,218.52/216,101.67 = 216,101.67/x
  3. Step 3: Cross multiply
    100,218.52x = 216,101.67 × 216,101.67
  4. Step 4: Simplify right side
    100,218.52x = 46,699,932,587.17
  5. Step 5: Solve for x
    x = 46,699,932,587.17/100,218.52
  6. Step 6: Final answer
    x = 465,981.08

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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.