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Finding the Third Proportional to 851,390 and 1,280,660

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Solution

The third proportional to 851,390 and 1,280,660 is: 1,926,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,390 : 1,280,660 = 1,280,660 : x
  2. Step 2: Convert to fraction form
    851,390/1,280,660 = 1,280,660/x
  3. Step 3: Cross multiply
    851,390x = 1,280,660 × 1,280,660
  4. Step 4: Simplify right side
    851,390x = 1,640,090,035,600
  5. Step 5: Solve for x
    x = 1,640,090,035,600/851,390
  6. Step 6: Final answer
    x = 1,926,367.51

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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.