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Finding the Third Proportional to 5,459.06 and 8,402.06

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Solution

The third proportional to 5,459.06 and 8,402.06 is: 12,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.06 : 8,402.06 = 8,402.06 : x
  2. Step 2: Convert to fraction form
    5,459.06/8,402.06 = 8,402.06/x
  3. Step 3: Cross multiply
    5,459.06x = 8,402.06 × 8,402.06
  4. Step 4: Simplify right side
    5,459.06x = 70,594,654.25
  5. Step 5: Solve for x
    x = 70,594,654.25/5,459.06
  6. Step 6: Final answer
    x = 12,931.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.