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Finding the Third Proportional to 318,459 and 497,067

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Solution

The third proportional to 318,459 and 497,067 is: 775,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,459 : 497,067 = 497,067 : x
  2. Step 2: Convert to fraction form
    318,459/497,067 = 497,067/x
  3. Step 3: Cross multiply
    318,459x = 497,067 × 497,067
  4. Step 4: Simplify right side
    318,459x = 247,075,602,489
  5. Step 5: Solve for x
    x = 247,075,602,489/318,459
  6. Step 6: Final answer
    x = 775,847.45

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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.