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Finding the Third Proportional to 787,218 and 1,253,230

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Solution

The third proportional to 787,218 and 1,253,230 is: 1,995,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,218 : 1,253,230 = 1,253,230 : x
  2. Step 2: Convert to fraction form
    787,218/1,253,230 = 1,253,230/x
  3. Step 3: Cross multiply
    787,218x = 1,253,230 × 1,253,230
  4. Step 4: Simplify right side
    787,218x = 1,570,585,432,900
  5. Step 5: Solve for x
    x = 1,570,585,432,900/787,218
  6. Step 6: Final answer
    x = 1,995,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.