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Finding the Third Proportional to 9,464.63 and 10,936.13

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Solution

The third proportional to 9,464.63 and 10,936.13 is: 12,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.63 : 10,936.13 = 10,936.13 : x
  2. Step 2: Convert to fraction form
    9,464.63/10,936.13 = 10,936.13/x
  3. Step 3: Cross multiply
    9,464.63x = 10,936.13 × 10,936.13
  4. Step 4: Simplify right side
    9,464.63x = 119,598,830.02
  5. Step 5: Solve for x
    x = 119,598,830.02/9,464.63
  6. Step 6: Final answer
    x = 12,636.40

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.