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Finding the Third Proportional to 349,430 and 764,288

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Solution

The third proportional to 349,430 and 764,288 is: 1,671,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,430 : 764,288 = 764,288 : x
  2. Step 2: Convert to fraction form
    349,430/764,288 = 764,288/x
  3. Step 3: Cross multiply
    349,430x = 764,288 × 764,288
  4. Step 4: Simplify right side
    349,430x = 584,136,146,944
  5. Step 5: Solve for x
    x = 584,136,146,944/349,430
  6. Step 6: Final answer
    x = 1,671,682.87

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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.