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Finding the Third Proportional to 331,830 and 510,336

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Solution

The third proportional to 331,830 and 510,336 is: 784,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,830 : 510,336 = 510,336 : x
  2. Step 2: Convert to fraction form
    331,830/510,336 = 510,336/x
  3. Step 3: Cross multiply
    331,830x = 510,336 × 510,336
  4. Step 4: Simplify right side
    331,830x = 260,442,832,896
  5. Step 5: Solve for x
    x = 260,442,832,896/331,830
  6. Step 6: Final answer
    x = 784,868.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.