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Finding the Third Proportional to 67,017.38 and 81,465.75

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Solution

The third proportional to 67,017.38 and 81,465.75 is: 99,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,017.38 : 81,465.75 = 81,465.75 : x
  2. Step 2: Convert to fraction form
    67,017.38/81,465.75 = 81,465.75/x
  3. Step 3: Cross multiply
    67,017.38x = 81,465.75 × 81,465.75
  4. Step 4: Simplify right side
    67,017.38x = 6,636,668,423.06
  5. Step 5: Solve for x
    x = 6,636,668,423.06/67,017.38
  6. Step 6: Final answer
    x = 99,029.07

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.