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Finding the Third Proportional to 431,451 and 907,521

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Solution

The third proportional to 431,451 and 907,521 is: 1,908,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,451 : 907,521 = 907,521 : x
  2. Step 2: Convert to fraction form
    431,451/907,521 = 907,521/x
  3. Step 3: Cross multiply
    431,451x = 907,521 × 907,521
  4. Step 4: Simplify right side
    431,451x = 823,594,365,441
  5. Step 5: Solve for x
    x = 823,594,365,441/431,451
  6. Step 6: Final answer
    x = 1,908,894.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.