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Finding the Third Proportional to 787,376 and 1,221,530

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Solution

The third proportional to 787,376 and 1,221,530 is: 1,895,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,376 : 1,221,530 = 1,221,530 : x
  2. Step 2: Convert to fraction form
    787,376/1,221,530 = 1,221,530/x
  3. Step 3: Cross multiply
    787,376x = 1,221,530 × 1,221,530
  4. Step 4: Simplify right side
    787,376x = 1,492,135,540,900
  5. Step 5: Solve for x
    x = 1,492,135,540,900/787,376
  6. Step 6: Final answer
    x = 1,895,073.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.