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Finding the Third Proportional to 1,086,270 and 1,643,387

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Solution

The third proportional to 1,086,270 and 1,643,387 is: 2,486,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,270 : 1,643,387 = 1,643,387 : x
  2. Step 2: Convert to fraction form
    1,086,270/1,643,387 = 1,643,387/x
  3. Step 3: Cross multiply
    1,086,270x = 1,643,387 × 1,643,387
  4. Step 4: Simplify right side
    1,086,270x = 2,700,720,831,769
  5. Step 5: Solve for x
    x = 2,700,720,831,769/1,086,270
  6. Step 6: Final answer
    x = 2,486,233.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.