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Finding the Third Proportional to 423,912 and 914,240

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Solution

The third proportional to 423,912 and 914,240 is: 1,971,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,912 : 914,240 = 914,240 : x
  2. Step 2: Convert to fraction form
    423,912/914,240 = 914,240/x
  3. Step 3: Cross multiply
    423,912x = 914,240 × 914,240
  4. Step 4: Simplify right side
    423,912x = 835,834,777,600
  5. Step 5: Solve for x
    x = 835,834,777,600/423,912
  6. Step 6: Final answer
    x = 1,971,717.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.