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Finding the Third Proportional to 2,157.47 and 4,530.94

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Solution

The third proportional to 2,157.47 and 4,530.94 is: 9,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.47 : 4,530.94 = 4,530.94 : x
  2. Step 2: Convert to fraction form
    2,157.47/4,530.94 = 4,530.94/x
  3. Step 3: Cross multiply
    2,157.47x = 4,530.94 × 4,530.94
  4. Step 4: Simplify right side
    2,157.47x = 20,529,394.63
  5. Step 5: Solve for x
    x = 20,529,394.63/2,157.47
  6. Step 6: Final answer
    x = 9,515.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.