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Finding the Third Proportional to 83,156.63 and 172,217.81

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Solution

The third proportional to 83,156.63 and 172,217.81 is: 356,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,156.63 : 172,217.81 = 172,217.81 : x
  2. Step 2: Convert to fraction form
    83,156.63/172,217.81 = 172,217.81/x
  3. Step 3: Cross multiply
    83,156.63x = 172,217.81 × 172,217.81
  4. Step 4: Simplify right side
    83,156.63x = 29,658,974,942.29
  5. Step 5: Solve for x
    x = 29,658,974,942.29/83,156.63
  6. Step 6: Final answer
    x = 356,664.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.