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Finding the Third Proportional to 81,460 and 119,276

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Solution

The third proportional to 81,460 and 119,276 is: 174,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460 : 119,276 = 119,276 : x
  2. Step 2: Convert to fraction form
    81,460/119,276 = 119,276/x
  3. Step 3: Cross multiply
    81,460x = 119,276 × 119,276
  4. Step 4: Simplify right side
    81,460x = 14,226,764,176
  5. Step 5: Solve for x
    x = 14,226,764,176/81,460
  6. Step 6: Final answer
    x = 174,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.