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Finding the Third Proportional to 451,332 and 991,224

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Solution

The third proportional to 451,332 and 991,224 is: 2,176,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,332 : 991,224 = 991,224 : x
  2. Step 2: Convert to fraction form
    451,332/991,224 = 991,224/x
  3. Step 3: Cross multiply
    451,332x = 991,224 × 991,224
  4. Step 4: Simplify right side
    451,332x = 982,525,018,176
  5. Step 5: Solve for x
    x = 982,525,018,176/451,332
  6. Step 6: Final answer
    x = 2,176,945.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.