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Finding the Third Proportional to 431,353 and 907,324

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Solution

The third proportional to 431,353 and 907,324 is: 1,908,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,353 : 907,324 = 907,324 : x
  2. Step 2: Convert to fraction form
    431,353/907,324 = 907,324/x
  3. Step 3: Cross multiply
    431,353x = 907,324 × 907,324
  4. Step 4: Simplify right side
    431,353x = 823,236,840,976
  5. Step 5: Solve for x
    x = 823,236,840,976/431,353
  6. Step 6: Final answer
    x = 1,908,499.17

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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.