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Finding the Third Proportional to 136,464 and 211,608

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Solution

The third proportional to 136,464 and 211,608 is: 328,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,464 : 211,608 = 211,608 : x
  2. Step 2: Convert to fraction form
    136,464/211,608 = 211,608/x
  3. Step 3: Cross multiply
    136,464x = 211,608 × 211,608
  4. Step 4: Simplify right side
    136,464x = 44,777,945,664
  5. Step 5: Solve for x
    x = 44,777,945,664/136,464
  6. Step 6: Final answer
    x = 328,130.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.