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Finding the Third Proportional to 431,439 and 907,497

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Solution

The third proportional to 431,439 and 907,497 is: 1,908,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,439 : 907,497 = 907,497 : x
  2. Step 2: Convert to fraction form
    431,439/907,497 = 907,497/x
  3. Step 3: Cross multiply
    431,439x = 907,497 × 907,497
  4. Step 4: Simplify right side
    431,439x = 823,550,805,009
  5. Step 5: Solve for x
    x = 823,550,805,009/431,439
  6. Step 6: Final answer
    x = 1,908,846.45

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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.