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Finding the Third Proportional to 181,138 and 286,522

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Solution

The third proportional to 181,138 and 286,522 is: 453,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,138 : 286,522 = 286,522 : x
  2. Step 2: Convert to fraction form
    181,138/286,522 = 286,522/x
  3. Step 3: Cross multiply
    181,138x = 286,522 × 286,522
  4. Step 4: Simplify right side
    181,138x = 82,094,856,484
  5. Step 5: Solve for x
    x = 82,094,856,484/181,138
  6. Step 6: Final answer
    x = 453,217.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.