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Finding the Third Proportional to 135,385 and 198,459

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Solution

The third proportional to 135,385 and 198,459 is: 290,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,385 : 198,459 = 198,459 : x
  2. Step 2: Convert to fraction form
    135,385/198,459 = 198,459/x
  3. Step 3: Cross multiply
    135,385x = 198,459 × 198,459
  4. Step 4: Simplify right side
    135,385x = 39,385,974,681
  5. Step 5: Solve for x
    x = 39,385,974,681/135,385
  6. Step 6: Final answer
    x = 290,918.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.