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Finding the Third Proportional to 691,964 and 1,520,248

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Solution

The third proportional to 691,964 and 1,520,248 is: 3,339,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,964 : 1,520,248 = 1,520,248 : x
  2. Step 2: Convert to fraction form
    691,964/1,520,248 = 1,520,248/x
  3. Step 3: Cross multiply
    691,964x = 1,520,248 × 1,520,248
  4. Step 4: Simplify right side
    691,964x = 2,311,153,981,504
  5. Step 5: Solve for x
    x = 2,311,153,981,504/691,964
  6. Step 6: Final answer
    x = 3,339,991.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.