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Finding the Third Proportional to 67,032.56 and 139,578.19

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Solution

The third proportional to 67,032.56 and 139,578.19 is: 290,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,032.56 : 139,578.19 = 139,578.19 : x
  2. Step 2: Convert to fraction form
    67,032.56/139,578.19 = 139,578.19/x
  3. Step 3: Cross multiply
    67,032.56x = 139,578.19 × 139,578.19
  4. Step 4: Simplify right side
    67,032.56x = 19,482,070,425.79
  5. Step 5: Solve for x
    x = 19,482,070,425.79/67,032.56
  6. Step 6: Final answer
    x = 290,635.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.