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Finding the Third Proportional to 4,991.63 and 7,887.38

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Solution

The third proportional to 4,991.63 and 7,887.38 is: 12,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.63 : 7,887.38 = 7,887.38 : x
  2. Step 2: Convert to fraction form
    4,991.63/7,887.38 = 7,887.38/x
  3. Step 3: Cross multiply
    4,991.63x = 7,887.38 × 7,887.38
  4. Step 4: Simplify right side
    4,991.63x = 62,210,684.39
  5. Step 5: Solve for x
    x = 62,210,684.39/4,991.63
  6. Step 6: Final answer
    x = 12,463.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.