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Finding the Third Proportional to 92,044 and 136,770

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Solution

The third proportional to 92,044 and 136,770 is: 203,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,044 : 136,770 = 136,770 : x
  2. Step 2: Convert to fraction form
    92,044/136,770 = 136,770/x
  3. Step 3: Cross multiply
    92,044x = 136,770 × 136,770
  4. Step 4: Simplify right side
    92,044x = 18,706,032,900
  5. Step 5: Solve for x
    x = 18,706,032,900/92,044
  6. Step 6: Final answer
    x = 203,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.