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Finding the Third Proportional to 4,410.61 and 9,460.78

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Solution

The third proportional to 4,410.61 and 9,460.78 is: 20,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410.61 : 9,460.78 = 9,460.78 : x
  2. Step 2: Convert to fraction form
    4,410.61/9,460.78 = 9,460.78/x
  3. Step 3: Cross multiply
    4,410.61x = 9,460.78 × 9,460.78
  4. Step 4: Simplify right side
    4,410.61x = 89,506,381.86
  5. Step 5: Solve for x
    x = 89,506,381.86/4,410.61
  6. Step 6: Final answer
    x = 20,293.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.