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Finding the Third Proportional to 8,402.63 and 9,587.25

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Solution

The third proportional to 8,402.63 and 9,587.25 is: 10,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.63 : 9,587.25 = 9,587.25 : x
  2. Step 2: Convert to fraction form
    8,402.63/9,587.25 = 9,587.25/x
  3. Step 3: Cross multiply
    8,402.63x = 9,587.25 × 9,587.25
  4. Step 4: Simplify right side
    8,402.63x = 91,915,362.56
  5. Step 5: Solve for x
    x = 91,915,362.56/8,402.63
  6. Step 6: Final answer
    x = 10,938.89

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.