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Finding the Third Proportional to 329,314 and 508,390

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Solution

The third proportional to 329,314 and 508,390 is: 784,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,314 : 508,390 = 508,390 : x
  2. Step 2: Convert to fraction form
    329,314/508,390 = 508,390/x
  3. Step 3: Cross multiply
    329,314x = 508,390 × 508,390
  4. Step 4: Simplify right side
    329,314x = 258,460,392,100
  5. Step 5: Solve for x
    x = 258,460,392,100/329,314
  6. Step 6: Final answer
    x = 784,844.84

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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.