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Finding the Third Proportional to 4,542.19 and 9,731.53

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Solution

The third proportional to 4,542.19 and 9,731.53 is: 20,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.19 : 9,731.53 = 9,731.53 : x
  2. Step 2: Convert to fraction form
    4,542.19/9,731.53 = 9,731.53/x
  3. Step 3: Cross multiply
    4,542.19x = 9,731.53 × 9,731.53
  4. Step 4: Simplify right side
    4,542.19x = 94,702,700.47
  5. Step 5: Solve for x
    x = 94,702,700.47/4,542.19
  6. Step 6: Final answer
    x = 20,849.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.