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Finding the Third Proportional to 349,427 and 764,284

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Solution

The third proportional to 349,427 and 764,284 is: 1,671,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,427 : 764,284 = 764,284 : x
  2. Step 2: Convert to fraction form
    349,427/764,284 = 764,284/x
  3. Step 3: Cross multiply
    349,427x = 764,284 × 764,284
  4. Step 4: Simplify right side
    349,427x = 584,130,032,656
  5. Step 5: Solve for x
    x = 584,130,032,656/349,427
  6. Step 6: Final answer
    x = 1,671,679.73

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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.