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Finding the Third Proportional to 135,365 and 198,430

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Solution

The third proportional to 135,365 and 198,430 is: 290,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,365 : 198,430 = 198,430 : x
  2. Step 2: Convert to fraction form
    135,365/198,430 = 198,430/x
  3. Step 3: Cross multiply
    135,365x = 198,430 × 198,430
  4. Step 4: Simplify right side
    135,365x = 39,374,464,900
  5. Step 5: Solve for x
    x = 39,374,464,900/135,365
  6. Step 6: Final answer
    x = 290,876.26

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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.