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Finding the Third Proportional to 4,470 and 9,724.50

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Solution

The third proportional to 4,470 and 9,724.50 is: 21,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 9,724.50 = 9,724.50 : x
  2. Step 2: Convert to fraction form
    4,470/9,724.50 = 9,724.50/x
  3. Step 3: Cross multiply
    4,470x = 9,724.50 × 9,724.50
  4. Step 4: Simplify right side
    4,470x = 94,565,900.25
  5. Step 5: Solve for x
    x = 94,565,900.25/4,470
  6. Step 6: Final answer
    x = 21,155.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.