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Finding the Third Proportional to 431,517 and 908,528

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Solution

The third proportional to 431,517 and 908,528 is: 1,912,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,517 : 908,528 = 908,528 : x
  2. Step 2: Convert to fraction form
    431,517/908,528 = 908,528/x
  3. Step 3: Cross multiply
    431,517x = 908,528 × 908,528
  4. Step 4: Simplify right side
    431,517x = 825,423,126,784
  5. Step 5: Solve for x
    x = 825,423,126,784/431,517
  6. Step 6: Final answer
    x = 1,912,840.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.