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Finding the Third Proportional to 681,280 and 1,406,292

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Solution

The third proportional to 681,280 and 1,406,292 is: 2,902,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,280 : 1,406,292 = 1,406,292 : x
  2. Step 2: Convert to fraction form
    681,280/1,406,292 = 1,406,292/x
  3. Step 3: Cross multiply
    681,280x = 1,406,292 × 1,406,292
  4. Step 4: Simplify right side
    681,280x = 1,977,657,189,264
  5. Step 5: Solve for x
    x = 1,977,657,189,264/681,280
  6. Step 6: Final answer
    x = 2,902,855.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.