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Finding the Third Proportional to 138,514 and 203,154

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Solution

The third proportional to 138,514 and 203,154 is: 297,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,514 : 203,154 = 203,154 : x
  2. Step 2: Convert to fraction form
    138,514/203,154 = 203,154/x
  3. Step 3: Cross multiply
    138,514x = 203,154 × 203,154
  4. Step 4: Simplify right side
    138,514x = 41,271,547,716
  5. Step 5: Solve for x
    x = 41,271,547,716/138,514
  6. Step 6: Final answer
    x = 297,959.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.