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Finding the Third Proportional to 73,689.75 and 173,215.13

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Solution

The third proportional to 73,689.75 and 173,215.13 is: 407,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,689.75 : 173,215.13 = 173,215.13 : x
  2. Step 2: Convert to fraction form
    73,689.75/173,215.13 = 173,215.13/x
  3. Step 3: Cross multiply
    73,689.75x = 173,215.13 × 173,215.13
  4. Step 4: Simplify right side
    73,689.75x = 30,003,479,528.77
  5. Step 5: Solve for x
    x = 30,003,479,528.77/73,689.75
  6. Step 6: Final answer
    x = 407,159.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.