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Finding the Third Proportional to 787,384 and 1,221,542

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Solution

The third proportional to 787,384 and 1,221,542 is: 1,895,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,384 : 1,221,542 = 1,221,542 : x
  2. Step 2: Convert to fraction form
    787,384/1,221,542 = 1,221,542/x
  3. Step 3: Cross multiply
    787,384x = 1,221,542 × 1,221,542
  4. Step 4: Simplify right side
    787,384x = 1,492,164,857,764
  5. Step 5: Solve for x
    x = 1,492,164,857,764/787,384
  6. Step 6: Final answer
    x = 1,895,091.67

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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.