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Finding the Third Proportional to 431,211 and 917,643

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Solution

The third proportional to 431,211 and 917,643 is: 1,952,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,211 : 917,643 = 917,643 : x
  2. Step 2: Convert to fraction form
    431,211/917,643 = 917,643/x
  3. Step 3: Cross multiply
    431,211x = 917,643 × 917,643
  4. Step 4: Simplify right side
    431,211x = 842,068,675,449
  5. Step 5: Solve for x
    x = 842,068,675,449/431,211
  6. Step 6: Final answer
    x = 1,952,799.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.