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Finding the Third Proportional to 349,425 and 764,280

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Solution

The third proportional to 349,425 and 764,280 is: 1,671,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,425 : 764,280 = 764,280 : x
  2. Step 2: Convert to fraction form
    349,425/764,280 = 764,280/x
  3. Step 3: Cross multiply
    349,425x = 764,280 × 764,280
  4. Step 4: Simplify right side
    349,425x = 584,123,918,400
  5. Step 5: Solve for x
    x = 584,123,918,400/349,425
  6. Step 6: Final answer
    x = 1,671,671.80

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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.