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Finding the Third Proportional to 3,291.60 and 4,657.51

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Solution

The third proportional to 3,291.60 and 4,657.51 is: 6,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.60 : 4,657.51 = 4,657.51 : x
  2. Step 2: Convert to fraction form
    3,291.60/4,657.51 = 4,657.51/x
  3. Step 3: Cross multiply
    3,291.60x = 4,657.51 × 4,657.51
  4. Step 4: Simplify right side
    3,291.60x = 21,692,415.41
  5. Step 5: Solve for x
    x = 21,692,415.41/3,291.60
  6. Step 6: Final answer
    x = 6,590.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.