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Finding the Third Proportional to 421,441 and 914,306

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Solution

The third proportional to 421,441 and 914,306 is: 1,983,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,441 : 914,306 = 914,306 : x
  2. Step 2: Convert to fraction form
    421,441/914,306 = 914,306/x
  3. Step 3: Cross multiply
    421,441x = 914,306 × 914,306
  4. Step 4: Simplify right side
    421,441x = 835,955,461,636
  5. Step 5: Solve for x
    x = 835,955,461,636/421,441
  6. Step 6: Final answer
    x = 1,983,564.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.