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Finding the Third Proportional to 1,987,287 and 4,310,643

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Solution

The third proportional to 1,987,287 and 4,310,643 is: 9,350,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,287 : 4,310,643 = 4,310,643 : x
  2. Step 2: Convert to fraction form
    1,987,287/4,310,643 = 4,310,643/x
  3. Step 3: Cross multiply
    1,987,287x = 4,310,643 × 4,310,643
  4. Step 4: Simplify right side
    1,987,287x = 18,581,643,073,449
  5. Step 5: Solve for x
    x = 18,581,643,073,449/1,987,287
  6. Step 6: Final answer
    x = 9,350,256.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.