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Finding the Third Proportional to 279,426 and 442,653

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Solution

The third proportional to 279,426 and 442,653 is: 701,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,426 : 442,653 = 442,653 : x
  2. Step 2: Convert to fraction form
    279,426/442,653 = 442,653/x
  3. Step 3: Cross multiply
    279,426x = 442,653 × 442,653
  4. Step 4: Simplify right side
    279,426x = 195,941,678,409
  5. Step 5: Solve for x
    x = 195,941,678,409/279,426
  6. Step 6: Final answer
    x = 701,229.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.