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Finding the Third Proportional to 4,774.78 and 10,490.06

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Solution

The third proportional to 4,774.78 and 10,490.06 is: 23,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.78 : 10,490.06 = 10,490.06 : x
  2. Step 2: Convert to fraction form
    4,774.78/10,490.06 = 10,490.06/x
  3. Step 3: Cross multiply
    4,774.78x = 10,490.06 × 10,490.06
  4. Step 4: Simplify right side
    4,774.78x = 110,041,411.25
  5. Step 5: Solve for x
    x = 110,041,411.25/4,774.78
  6. Step 6: Final answer
    x = 23,046.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.