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Finding the Third Proportional to 135,370 and 198,437

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Solution

The third proportional to 135,370 and 198,437 is: 290,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,370 : 198,437 = 198,437 : x
  2. Step 2: Convert to fraction form
    135,370/198,437 = 198,437/x
  3. Step 3: Cross multiply
    135,370x = 198,437 × 198,437
  4. Step 4: Simplify right side
    135,370x = 39,377,242,969
  5. Step 5: Solve for x
    x = 39,377,242,969/135,370
  6. Step 6: Final answer
    x = 290,886.04

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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.