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Finding the Third Proportional to 4,392 and 8,419.50

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Solution

The third proportional to 4,392 and 8,419.50 is: 16,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392 : 8,419.50 = 8,419.50 : x
  2. Step 2: Convert to fraction form
    4,392/8,419.50 = 8,419.50/x
  3. Step 3: Cross multiply
    4,392x = 8,419.50 × 8,419.50
  4. Step 4: Simplify right side
    4,392x = 70,887,980.25
  5. Step 5: Solve for x
    x = 70,887,980.25/4,392
  6. Step 6: Final answer
    x = 16,140.25

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.