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Finding the Third Proportional to 318,424 and 497,008

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Solution

The third proportional to 318,424 and 497,008 is: 775,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,424 : 497,008 = 497,008 : x
  2. Step 2: Convert to fraction form
    318,424/497,008 = 497,008/x
  3. Step 3: Cross multiply
    318,424x = 497,008 × 497,008
  4. Step 4: Simplify right side
    318,424x = 247,016,952,064
  5. Step 5: Solve for x
    x = 247,016,952,064/318,424
  6. Step 6: Final answer
    x = 775,748.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.