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Finding the Third Proportional to 61,203 and 134,430

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Solution

The third proportional to 61,203 and 134,430 is: 295,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,203 : 134,430 = 134,430 : x
  2. Step 2: Convert to fraction form
    61,203/134,430 = 134,430/x
  3. Step 3: Cross multiply
    61,203x = 134,430 × 134,430
  4. Step 4: Simplify right side
    61,203x = 18,071,424,900
  5. Step 5: Solve for x
    x = 18,071,424,900/61,203
  6. Step 6: Final answer
    x = 295,270.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.