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Finding the Third Proportional to 847,746 and 1,280,259

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Solution

The third proportional to 847,746 and 1,280,259 is: 1,933,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,746 : 1,280,259 = 1,280,259 : x
  2. Step 2: Convert to fraction form
    847,746/1,280,259 = 1,280,259/x
  3. Step 3: Cross multiply
    847,746x = 1,280,259 × 1,280,259
  4. Step 4: Simplify right side
    847,746x = 1,639,063,107,081
  5. Step 5: Solve for x
    x = 1,639,063,107,081/847,746
  6. Step 6: Final answer
    x = 1,933,436.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.