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Finding the Third Proportional to 5,130.84 and 12,455.02

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Solution

The third proportional to 5,130.84 and 12,455.02 is: 30,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.84 : 12,455.02 = 12,455.02 : x
  2. Step 2: Convert to fraction form
    5,130.84/12,455.02 = 12,455.02/x
  3. Step 3: Cross multiply
    5,130.84x = 12,455.02 × 12,455.02
  4. Step 4: Simplify right side
    5,130.84x = 155,127,414.22
  5. Step 5: Solve for x
    x = 155,127,414.22/5,130.84
  6. Step 6: Final answer
    x = 30,234.29

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.