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Finding the Third Proportional to 876,645 and 1,311,438

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Solution

The third proportional to 876,645 and 1,311,438 is: 1,961,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,645 : 1,311,438 = 1,311,438 : x
  2. Step 2: Convert to fraction form
    876,645/1,311,438 = 1,311,438/x
  3. Step 3: Cross multiply
    876,645x = 1,311,438 × 1,311,438
  4. Step 4: Simplify right side
    876,645x = 1,719,869,627,844
  5. Step 5: Solve for x
    x = 1,719,869,627,844/876,645
  6. Step 6: Final answer
    x = 1,961,876.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.