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Finding the Third Proportional to 215,605.13 and 286,228.69

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Solution

The third proportional to 215,605.13 and 286,228.69 is: 379,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,605.13 : 286,228.69 = 286,228.69 : x
  2. Step 2: Convert to fraction form
    215,605.13/286,228.69 = 286,228.69/x
  3. Step 3: Cross multiply
    215,605.13x = 286,228.69 × 286,228.69
  4. Step 4: Simplify right side
    215,605.13x = 81,926,861,547.97
  5. Step 5: Solve for x
    x = 81,926,861,547.97/215,605.13
  6. Step 6: Final answer
    x = 379,985.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.