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Finding the Third Proportional to 431,351 and 907,320

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Solution

The third proportional to 431,351 and 907,320 is: 1,908,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,351 : 907,320 = 907,320 : x
  2. Step 2: Convert to fraction form
    431,351/907,320 = 907,320/x
  3. Step 3: Cross multiply
    431,351x = 907,320 × 907,320
  4. Step 4: Simplify right side
    431,351x = 823,229,582,400
  5. Step 5: Solve for x
    x = 823,229,582,400/431,351
  6. Step 6: Final answer
    x = 1,908,491.19

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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.