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Finding the Third Proportional to 8,490 and 11,165.25

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Solution

The third proportional to 8,490 and 11,165.25 is: 14,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490 : 11,165.25 = 11,165.25 : x
  2. Step 2: Convert to fraction form
    8,490/11,165.25 = 11,165.25/x
  3. Step 3: Cross multiply
    8,490x = 11,165.25 × 11,165.25
  4. Step 4: Simplify right side
    8,490x = 124,662,807.56
  5. Step 5: Solve for x
    x = 124,662,807.56/8,490
  6. Step 6: Final answer
    x = 14,683.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.