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Finding the Third Proportional to 78,378 and 169,146

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Solution

The third proportional to 78,378 and 169,146 is: 365,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378 : 169,146 = 169,146 : x
  2. Step 2: Convert to fraction form
    78,378/169,146 = 169,146/x
  3. Step 3: Cross multiply
    78,378x = 169,146 × 169,146
  4. Step 4: Simplify right side
    78,378x = 28,610,369,316
  5. Step 5: Solve for x
    x = 28,610,369,316/78,378
  6. Step 6: Final answer
    x = 365,030.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.