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Finding the Third Proportional to 4,290.47 and 6,557.20

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Solution

The third proportional to 4,290.47 and 6,557.20 is: 10,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.47 : 6,557.20 = 6,557.20 : x
  2. Step 2: Convert to fraction form
    4,290.47/6,557.20 = 6,557.20/x
  3. Step 3: Cross multiply
    4,290.47x = 6,557.20 × 6,557.20
  4. Step 4: Simplify right side
    4,290.47x = 42,996,912.82
  5. Step 5: Solve for x
    x = 42,996,912.82/4,290.47
  6. Step 6: Final answer
    x = 10,021.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.