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Finding the Third Proportional to 2,220.54 and 4,777.10

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Solution

The third proportional to 2,220.54 and 4,777.10 is: 10,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.54 : 4,777.10 = 4,777.10 : x
  2. Step 2: Convert to fraction form
    2,220.54/4,777.10 = 4,777.10/x
  3. Step 3: Cross multiply
    2,220.54x = 4,777.10 × 4,777.10
  4. Step 4: Simplify right side
    2,220.54x = 22,820,699.34
  5. Step 5: Solve for x
    x = 22,820,699.34/2,220.54
  6. Step 6: Final answer
    x = 10,277.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.