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Finding the Third Proportional to 198,444 and 435,426

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Solution

The third proportional to 198,444 and 435,426 is: 955,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,444 : 435,426 = 435,426 : x
  2. Step 2: Convert to fraction form
    198,444/435,426 = 435,426/x
  3. Step 3: Cross multiply
    198,444x = 435,426 × 435,426
  4. Step 4: Simplify right side
    198,444x = 189,595,801,476
  5. Step 5: Solve for x
    x = 189,595,801,476/198,444
  6. Step 6: Final answer
    x = 955,412.11

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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.