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Finding the Third Proportional to 78,144 and 169,248

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Solution

The third proportional to 78,144 and 169,248 is: 366,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,144 : 169,248 = 169,248 : x
  2. Step 2: Convert to fraction form
    78,144/169,248 = 169,248/x
  3. Step 3: Cross multiply
    78,144x = 169,248 × 169,248
  4. Step 4: Simplify right side
    78,144x = 28,644,885,504
  5. Step 5: Solve for x
    x = 28,644,885,504/78,144
  6. Step 6: Final answer
    x = 366,565.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.