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Finding the Third Proportional to 373,429 and 819,422

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Solution

The third proportional to 373,429 and 819,422 is: 1,798,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,429 : 819,422 = 819,422 : x
  2. Step 2: Convert to fraction form
    373,429/819,422 = 819,422/x
  3. Step 3: Cross multiply
    373,429x = 819,422 × 819,422
  4. Step 4: Simplify right side
    373,429x = 671,452,414,084
  5. Step 5: Solve for x
    x = 671,452,414,084/373,429
  6. Step 6: Final answer
    x = 1,798,072.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.