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Finding the Third Proportional to 278,413 and 434,254

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Solution

The third proportional to 278,413 and 434,254 is: 677,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,413 : 434,254 = 434,254 : x
  2. Step 2: Convert to fraction form
    278,413/434,254 = 434,254/x
  3. Step 3: Cross multiply
    278,413x = 434,254 × 434,254
  4. Step 4: Simplify right side
    278,413x = 188,576,536,516
  5. Step 5: Solve for x
    x = 188,576,536,516/278,413
  6. Step 6: Final answer
    x = 677,326.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.