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Finding the Third Proportional to 76,970 and 115,146

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Solution

The third proportional to 76,970 and 115,146 is: 172,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970 : 115,146 = 115,146 : x
  2. Step 2: Convert to fraction form
    76,970/115,146 = 115,146/x
  3. Step 3: Cross multiply
    76,970x = 115,146 × 115,146
  4. Step 4: Simplify right side
    76,970x = 13,258,601,316
  5. Step 5: Solve for x
    x = 13,258,601,316/76,970
  6. Step 6: Final answer
    x = 172,256.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.