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Finding the Third Proportional to 195,508 and 428,382

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Solution

The third proportional to 195,508 and 428,382 is: 938,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,508 : 428,382 = 428,382 : x
  2. Step 2: Convert to fraction form
    195,508/428,382 = 428,382/x
  3. Step 3: Cross multiply
    195,508x = 428,382 × 428,382
  4. Step 4: Simplify right side
    195,508x = 183,511,137,924
  5. Step 5: Solve for x
    x = 183,511,137,924/195,508
  6. Step 6: Final answer
    x = 938,637.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.