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Finding the Third Proportional to 136,164 and 209,988

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Solution

The third proportional to 136,164 and 209,988 is: 323,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164 : 209,988 = 209,988 : x
  2. Step 2: Convert to fraction form
    136,164/209,988 = 209,988/x
  3. Step 3: Cross multiply
    136,164x = 209,988 × 209,988
  4. Step 4: Simplify right side
    136,164x = 44,094,960,144
  5. Step 5: Solve for x
    x = 44,094,960,144/136,164
  6. Step 6: Final answer
    x = 323,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.