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Finding the Third Proportional to 76,864 and 114,808

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Solution

The third proportional to 76,864 and 114,808 is: 171,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,864 : 114,808 = 114,808 : x
  2. Step 2: Convert to fraction form
    76,864/114,808 = 114,808/x
  3. Step 3: Cross multiply
    76,864x = 114,808 × 114,808
  4. Step 4: Simplify right side
    76,864x = 13,180,876,864
  5. Step 5: Solve for x
    x = 13,180,876,864/76,864
  6. Step 6: Final answer
    x = 171,483.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.