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Finding the Third Proportional to 90,510 and 119,021

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Solution

The third proportional to 90,510 and 119,021 is: 156,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,510 : 119,021 = 119,021 : x
  2. Step 2: Convert to fraction form
    90,510/119,021 = 119,021/x
  3. Step 3: Cross multiply
    90,510x = 119,021 × 119,021
  4. Step 4: Simplify right side
    90,510x = 14,165,998,441
  5. Step 5: Solve for x
    x = 14,165,998,441/90,510
  6. Step 6: Final answer
    x = 156,513.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.