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Finding the Third Proportional to 76,579.17 and 109,384.17

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Solution

The third proportional to 76,579.17 and 109,384.17 is: 156,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579.17 : 109,384.17 = 109,384.17 : x
  2. Step 2: Convert to fraction form
    76,579.17/109,384.17 = 109,384.17/x
  3. Step 3: Cross multiply
    76,579.17x = 109,384.17 × 109,384.17
  4. Step 4: Simplify right side
    76,579.17x = 11,964,897,056.78
  5. Step 5: Solve for x
    x = 11,964,897,056.78/76,579.17
  6. Step 6: Final answer
    x = 156,242.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.