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Finding the Third Proportional to 100,776 and 220,648

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Solution

The third proportional to 100,776 and 220,648 is: 483,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,776 : 220,648 = 220,648 : x
  2. Step 2: Convert to fraction form
    100,776/220,648 = 220,648/x
  3. Step 3: Cross multiply
    100,776x = 220,648 × 220,648
  4. Step 4: Simplify right side
    100,776x = 48,685,539,904
  5. Step 5: Solve for x
    x = 48,685,539,904/100,776
  6. Step 6: Final answer
    x = 483,106.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.