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Finding the Third Proportional to 81,564 and 119,394

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Solution

The third proportional to 81,564 and 119,394 is: 174,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,564 : 119,394 = 119,394 : x
  2. Step 2: Convert to fraction form
    81,564/119,394 = 119,394/x
  3. Step 3: Cross multiply
    81,564x = 119,394 × 119,394
  4. Step 4: Simplify right side
    81,564x = 14,254,927,236
  5. Step 5: Solve for x
    x = 14,254,927,236/81,564
  6. Step 6: Final answer
    x = 174,769.84

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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.