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Finding the Third Proportional to 86,820 and 178,248

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Solution

The third proportional to 86,820 and 178,248 is: 365,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,820 : 178,248 = 178,248 : x
  2. Step 2: Convert to fraction form
    86,820/178,248 = 178,248/x
  3. Step 3: Cross multiply
    86,820x = 178,248 × 178,248
  4. Step 4: Simplify right side
    86,820x = 31,772,349,504
  5. Step 5: Solve for x
    x = 31,772,349,504/86,820
  6. Step 6: Final answer
    x = 365,956.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.