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Finding the Third Proportional to 287,197 and 402,458

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Solution

The third proportional to 287,197 and 402,458 is: 563,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,197 : 402,458 = 402,458 : x
  2. Step 2: Convert to fraction form
    287,197/402,458 = 402,458/x
  3. Step 3: Cross multiply
    287,197x = 402,458 × 402,458
  4. Step 4: Simplify right side
    287,197x = 161,972,441,764
  5. Step 5: Solve for x
    x = 161,972,441,764/287,197
  6. Step 6: Final answer
    x = 563,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.