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Finding the Third Proportional to 154,715 and 334,689

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Solution

The third proportional to 154,715 and 334,689 is: 724,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,715 : 334,689 = 334,689 : x
  2. Step 2: Convert to fraction form
    154,715/334,689 = 334,689/x
  3. Step 3: Cross multiply
    154,715x = 334,689 × 334,689
  4. Step 4: Simplify right side
    154,715x = 112,016,726,721
  5. Step 5: Solve for x
    x = 112,016,726,721/154,715
  6. Step 6: Final answer
    x = 724,019.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.