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Finding the Third Proportional to 318,660 and 695,289

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Solution

The third proportional to 318,660 and 695,289 is: 1,517,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,660 : 695,289 = 695,289 : x
  2. Step 2: Convert to fraction form
    318,660/695,289 = 695,289/x
  3. Step 3: Cross multiply
    318,660x = 695,289 × 695,289
  4. Step 4: Simplify right side
    318,660x = 483,426,793,521
  5. Step 5: Solve for x
    x = 483,426,793,521/318,660
  6. Step 6: Final answer
    x = 1,517,061.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.