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Finding the Third Proportional to 8,343 and 13,258.50

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Solution

The third proportional to 8,343 and 13,258.50 is: 21,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 13,258.50 = 13,258.50 : x
  2. Step 2: Convert to fraction form
    8,343/13,258.50 = 13,258.50/x
  3. Step 3: Cross multiply
    8,343x = 13,258.50 × 13,258.50
  4. Step 4: Simplify right side
    8,343x = 175,787,822.25
  5. Step 5: Solve for x
    x = 175,787,822.25/8,343
  6. Step 6: Final answer
    x = 21,070.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.