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Finding the Third Proportional to 847,750 and 1,280,265

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Solution

The third proportional to 847,750 and 1,280,265 is: 1,933,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,750 : 1,280,265 = 1,280,265 : x
  2. Step 2: Convert to fraction form
    847,750/1,280,265 = 1,280,265/x
  3. Step 3: Cross multiply
    847,750x = 1,280,265 × 1,280,265
  4. Step 4: Simplify right side
    847,750x = 1,639,078,470,225
  5. Step 5: Solve for x
    x = 1,639,078,470,225/847,750
  6. Step 6: Final answer
    x = 1,933,445.56

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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.