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Finding the Third Proportional to 279,102 and 581,820

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Solution

The third proportional to 279,102 and 581,820 is: 1,212,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,102 : 581,820 = 581,820 : x
  2. Step 2: Convert to fraction form
    279,102/581,820 = 581,820/x
  3. Step 3: Cross multiply
    279,102x = 581,820 × 581,820
  4. Step 4: Simplify right side
    279,102x = 338,514,512,400
  5. Step 5: Solve for x
    x = 338,514,512,400/279,102
  6. Step 6: Final answer
    x = 1,212,870.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.