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Finding the Third Proportional to 431,329 and 907,277

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Solution

The third proportional to 431,329 and 907,277 is: 1,908,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,329 : 907,277 = 907,277 : x
  2. Step 2: Convert to fraction form
    431,329/907,277 = 907,277/x
  3. Step 3: Cross multiply
    431,329x = 907,277 × 907,277
  4. Step 4: Simplify right side
    431,329x = 823,151,554,729
  5. Step 5: Solve for x
    x = 823,151,554,729/431,329
  6. Step 6: Final answer
    x = 1,908,407.63

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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.