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Finding the Third Proportional to 7,690 and 10,097.63

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Solution

The third proportional to 7,690 and 10,097.63 is: 13,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690 : 10,097.63 = 10,097.63 : x
  2. Step 2: Convert to fraction form
    7,690/10,097.63 = 10,097.63/x
  3. Step 3: Cross multiply
    7,690x = 10,097.63 × 10,097.63
  4. Step 4: Simplify right side
    7,690x = 101,962,030.64
  5. Step 5: Solve for x
    x = 101,962,030.64/7,690
  6. Step 6: Final answer
    x = 13,259.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.