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Finding the Third Proportional to 349,533 and 764,478

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Solution

The third proportional to 349,533 and 764,478 is: 1,672,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,533 : 764,478 = 764,478 : x
  2. Step 2: Convert to fraction form
    349,533/764,478 = 764,478/x
  3. Step 3: Cross multiply
    349,533x = 764,478 × 764,478
  4. Step 4: Simplify right side
    349,533x = 584,426,612,484
  5. Step 5: Solve for x
    x = 584,426,612,484/349,533
  6. Step 6: Final answer
    x = 1,672,021.28

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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.