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Finding the Third Proportional to 917,874 and 1,290,285

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Solution

The third proportional to 917,874 and 1,290,285 is: 1,813,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,874 : 1,290,285 = 1,290,285 : x
  2. Step 2: Convert to fraction form
    917,874/1,290,285 = 1,290,285/x
  3. Step 3: Cross multiply
    917,874x = 1,290,285 × 1,290,285
  4. Step 4: Simplify right side
    917,874x = 1,664,835,381,225
  5. Step 5: Solve for x
    x = 1,664,835,381,225/917,874
  6. Step 6: Final answer
    x = 1,813,795.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.