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Finding the Third Proportional to 85,822 and 128,246

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Solution

The third proportional to 85,822 and 128,246 is: 191,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,822 : 128,246 = 128,246 : x
  2. Step 2: Convert to fraction form
    85,822/128,246 = 128,246/x
  3. Step 3: Cross multiply
    85,822x = 128,246 × 128,246
  4. Step 4: Simplify right side
    85,822x = 16,447,036,516
  5. Step 5: Solve for x
    x = 16,447,036,516/85,822
  6. Step 6: Final answer
    x = 191,641.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.