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Finding the Third Proportional to 268,268 and 402,434

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Solution

The third proportional to 268,268 and 402,434 is: 603,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,268 : 402,434 = 402,434 : x
  2. Step 2: Convert to fraction form
    268,268/402,434 = 402,434/x
  3. Step 3: Cross multiply
    268,268x = 402,434 × 402,434
  4. Step 4: Simplify right side
    268,268x = 161,953,124,356
  5. Step 5: Solve for x
    x = 161,953,124,356/268,268
  6. Step 6: Final answer
    x = 603,699.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.