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Finding the Third Proportional to 72,708 and 154,206

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Solution

The third proportional to 72,708 and 154,206 is: 327,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,708 : 154,206 = 154,206 : x
  2. Step 2: Convert to fraction form
    72,708/154,206 = 154,206/x
  3. Step 3: Cross multiply
    72,708x = 154,206 × 154,206
  4. Step 4: Simplify right side
    72,708x = 23,779,490,436
  5. Step 5: Solve for x
    x = 23,779,490,436/72,708
  6. Step 6: Final answer
    x = 327,054.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.