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Finding the Third Proportional to 431,475 and 938,703

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Solution

The third proportional to 431,475 and 938,703 is: 2,042,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,475 : 938,703 = 938,703 : x
  2. Step 2: Convert to fraction form
    431,475/938,703 = 938,703/x
  3. Step 3: Cross multiply
    431,475x = 938,703 × 938,703
  4. Step 4: Simplify right side
    431,475x = 881,163,322,209
  5. Step 5: Solve for x
    x = 881,163,322,209/431,475
  6. Step 6: Final answer
    x = 2,042,211.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.