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Finding the Third Proportional to 8,130 and 10,615.50

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Solution

The third proportional to 8,130 and 10,615.50 is: 13,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130 : 10,615.50 = 10,615.50 : x
  2. Step 2: Convert to fraction form
    8,130/10,615.50 = 10,615.50/x
  3. Step 3: Cross multiply
    8,130x = 10,615.50 × 10,615.50
  4. Step 4: Simplify right side
    8,130x = 112,688,840.25
  5. Step 5: Solve for x
    x = 112,688,840.25/8,130
  6. Step 6: Final answer
    x = 13,860.87

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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.