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Finding the Third Proportional to 318,078 and 487,309

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Solution

The third proportional to 318,078 and 487,309 is: 746,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,078 : 487,309 = 487,309 : x
  2. Step 2: Convert to fraction form
    318,078/487,309 = 487,309/x
  3. Step 3: Cross multiply
    318,078x = 487,309 × 487,309
  4. Step 4: Simplify right side
    318,078x = 237,470,061,481
  5. Step 5: Solve for x
    x = 237,470,061,481/318,078
  6. Step 6: Final answer
    x = 746,578.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.