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Finding the Third Proportional to 7,705.76 and 8,628.40

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Solution

The third proportional to 7,705.76 and 8,628.40 is: 9,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.76 : 8,628.40 = 8,628.40 : x
  2. Step 2: Convert to fraction form
    7,705.76/8,628.40 = 8,628.40/x
  3. Step 3: Cross multiply
    7,705.76x = 8,628.40 × 8,628.40
  4. Step 4: Simplify right side
    7,705.76x = 74,449,259.60
  5. Step 5: Solve for x
    x = 74,449,259.60/7,705.76
  6. Step 6: Final answer
    x = 9,661.51

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.