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Finding the Third Proportional to 425,448 and 907,212

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Solution

The third proportional to 425,448 and 907,212 is: 1,934,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,448 : 907,212 = 907,212 : x
  2. Step 2: Convert to fraction form
    425,448/907,212 = 907,212/x
  3. Step 3: Cross multiply
    425,448x = 907,212 × 907,212
  4. Step 4: Simplify right side
    425,448x = 823,033,612,944
  5. Step 5: Solve for x
    x = 823,033,612,944/425,448
  6. Step 6: Final answer
    x = 1,934,510.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.