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Finding the Third Proportional to 207,654 and 312,873

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Solution

The third proportional to 207,654 and 312,873 is: 471,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,654 : 312,873 = 312,873 : x
  2. Step 2: Convert to fraction form
    207,654/312,873 = 312,873/x
  3. Step 3: Cross multiply
    207,654x = 312,873 × 312,873
  4. Step 4: Simplify right side
    207,654x = 97,889,514,129
  5. Step 5: Solve for x
    x = 97,889,514,129/207,654
  6. Step 6: Final answer
    x = 471,406.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.