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Finding the Third Proportional to 61,455 and 129,090

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Solution

The third proportional to 61,455 and 129,090 is: 271,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,455 : 129,090 = 129,090 : x
  2. Step 2: Convert to fraction form
    61,455/129,090 = 129,090/x
  3. Step 3: Cross multiply
    61,455x = 129,090 × 129,090
  4. Step 4: Simplify right side
    61,455x = 16,664,228,100
  5. Step 5: Solve for x
    x = 16,664,228,100/61,455
  6. Step 6: Final answer
    x = 271,161.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.