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Finding the Third Proportional to 40,117.78 and 86,454.84

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Solution

The third proportional to 40,117.78 and 86,454.84 is: 186,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,117.78 : 86,454.84 = 86,454.84 : x
  2. Step 2: Convert to fraction form
    40,117.78/86,454.84 = 86,454.84/x
  3. Step 3: Cross multiply
    40,117.78x = 86,454.84 × 86,454.84
  4. Step 4: Simplify right side
    40,117.78x = 7,474,440,007.84
  5. Step 5: Solve for x
    x = 7,474,440,007.84/40,117.78
  6. Step 6: Final answer
    x = 186,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.