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Finding the Third Proportional to 210,127 and 318,349

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Solution

The third proportional to 210,127 and 318,349 is: 482,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,127 : 318,349 = 318,349 : x
  2. Step 2: Convert to fraction form
    210,127/318,349 = 318,349/x
  3. Step 3: Cross multiply
    210,127x = 318,349 × 318,349
  4. Step 4: Simplify right side
    210,127x = 101,346,085,801
  5. Step 5: Solve for x
    x = 101,346,085,801/210,127
  6. Step 6: Final answer
    x = 482,308.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.