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Finding the Third Proportional to 643,951 and 1,398,521

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Solution

The third proportional to 643,951 and 1,398,521 is: 3,037,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,951 : 1,398,521 = 1,398,521 : x
  2. Step 2: Convert to fraction form
    643,951/1,398,521 = 1,398,521/x
  3. Step 3: Cross multiply
    643,951x = 1,398,521 × 1,398,521
  4. Step 4: Simplify right side
    643,951x = 1,955,860,987,441
  5. Step 5: Solve for x
    x = 1,955,860,987,441/643,951
  6. Step 6: Final answer
    x = 3,037,282.32

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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.