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Finding the Third Proportional to 851,421 and 1,280,719

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Solution

The third proportional to 851,421 and 1,280,719 is: 1,926,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,421 : 1,280,719 = 1,280,719 : x
  2. Step 2: Convert to fraction form
    851,421/1,280,719 = 1,280,719/x
  3. Step 3: Cross multiply
    851,421x = 1,280,719 × 1,280,719
  4. Step 4: Simplify right side
    851,421x = 1,640,241,156,961
  5. Step 5: Solve for x
    x = 1,640,241,156,961/851,421
  6. Step 6: Final answer
    x = 1,926,474.87

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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.