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Finding the Third Proportional to 198,587 and 432,118

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Solution

The third proportional to 198,587 and 432,118 is: 940,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,587 : 432,118 = 432,118 : x
  2. Step 2: Convert to fraction form
    198,587/432,118 = 432,118/x
  3. Step 3: Cross multiply
    198,587x = 432,118 × 432,118
  4. Step 4: Simplify right side
    198,587x = 186,725,965,924
  5. Step 5: Solve for x
    x = 186,725,965,924/198,587
  6. Step 6: Final answer
    x = 940,272.86

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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.