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Finding the Third Proportional to 61,999 and 135,070

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Solution

The third proportional to 61,999 and 135,070 is: 294,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,999 : 135,070 = 135,070 : x
  2. Step 2: Convert to fraction form
    61,999/135,070 = 135,070/x
  3. Step 3: Cross multiply
    61,999x = 135,070 × 135,070
  4. Step 4: Simplify right side
    61,999x = 18,243,904,900
  5. Step 5: Solve for x
    x = 18,243,904,900/61,999
  6. Step 6: Final answer
    x = 294,261.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.