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Finding the Third Proportional to 101,319 and 220,476

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Solution

The third proportional to 101,319 and 220,476 is: 479,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,319 : 220,476 = 220,476 : x
  2. Step 2: Convert to fraction form
    101,319/220,476 = 220,476/x
  3. Step 3: Cross multiply
    101,319x = 220,476 × 220,476
  4. Step 4: Simplify right side
    101,319x = 48,609,666,576
  5. Step 5: Solve for x
    x = 48,609,666,576/101,319
  6. Step 6: Final answer
    x = 479,768.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.