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Finding the Third Proportional to 74,689.75 and 112,115.75

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Solution

The third proportional to 74,689.75 and 112,115.75 is: 168,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,689.75 : 112,115.75 = 112,115.75 : x
  2. Step 2: Convert to fraction form
    74,689.75/112,115.75 = 112,115.75/x
  3. Step 3: Cross multiply
    74,689.75x = 112,115.75 × 112,115.75
  4. Step 4: Simplify right side
    74,689.75x = 12,569,941,398.06
  5. Step 5: Solve for x
    x = 12,569,941,398.06/74,689.75
  6. Step 6: Final answer
    x = 168,295.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.