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Finding the Third Proportional to 279,425 and 442,651

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Solution

The third proportional to 279,425 and 442,651 is: 701,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,425 : 442,651 = 442,651 : x
  2. Step 2: Convert to fraction form
    279,425/442,651 = 442,651/x
  3. Step 3: Cross multiply
    279,425x = 442,651 × 442,651
  4. Step 4: Simplify right side
    279,425x = 195,939,907,801
  5. Step 5: Solve for x
    x = 195,939,907,801/279,425
  6. Step 6: Final answer
    x = 701,225.40

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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.