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Finding the Third Proportional to 4,752 and 10,810.13

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Solution

The third proportional to 4,752 and 10,810.13 is: 24,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752 : 10,810.13 = 10,810.13 : x
  2. Step 2: Convert to fraction form
    4,752/10,810.13 = 10,810.13/x
  3. Step 3: Cross multiply
    4,752x = 10,810.13 × 10,810.13
  4. Step 4: Simplify right side
    4,752x = 116,858,802.52
  5. Step 5: Solve for x
    x = 116,858,802.52/4,752
  6. Step 6: Final answer
    x = 24,591.50

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.