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Finding the Third Proportional to 787,434 and 1,221,597

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Solution

The third proportional to 787,434 and 1,221,597 is: 1,895,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,434 : 1,221,597 = 1,221,597 : x
  2. Step 2: Convert to fraction form
    787,434/1,221,597 = 1,221,597/x
  3. Step 3: Cross multiply
    787,434x = 1,221,597 × 1,221,597
  4. Step 4: Simplify right side
    787,434x = 1,492,299,230,409
  5. Step 5: Solve for x
    x = 1,492,299,230,409/787,434
  6. Step 6: Final answer
    x = 1,895,141.98

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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.