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Finding the Third Proportional to 787,238 and 1,253,261

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Solution

The third proportional to 787,238 and 1,253,261 is: 1,995,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,238 : 1,253,261 = 1,253,261 : x
  2. Step 2: Convert to fraction form
    787,238/1,253,261 = 1,253,261/x
  3. Step 3: Cross multiply
    787,238x = 1,253,261 × 1,253,261
  4. Step 4: Simplify right side
    787,238x = 1,570,663,134,121
  5. Step 5: Solve for x
    x = 1,570,663,134,121/787,238
  6. Step 6: Final answer
    x = 1,995,156.65

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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.