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Finding the Third Proportional to 148,910 and 318,596

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Solution

The third proportional to 148,910 and 318,596 is: 681,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,910 : 318,596 = 318,596 : x
  2. Step 2: Convert to fraction form
    148,910/318,596 = 318,596/x
  3. Step 3: Cross multiply
    148,910x = 318,596 × 318,596
  4. Step 4: Simplify right side
    148,910x = 101,503,411,216
  5. Step 5: Solve for x
    x = 101,503,411,216/148,910
  6. Step 6: Final answer
    x = 681,642.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.