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Finding the Third Proportional to 253,198.50 and 554,709

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Solution

The third proportional to 253,198.50 and 554,709 is: 1,215,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,198.50 : 554,709 = 554,709 : x
  2. Step 2: Convert to fraction form
    253,198.50/554,709 = 554,709/x
  3. Step 3: Cross multiply
    253,198.50x = 554,709 × 554,709
  4. Step 4: Simplify right side
    253,198.50x = 307,702,074,681
  5. Step 5: Solve for x
    x = 307,702,074,681/253,198.50
  6. Step 6: Final answer
    x = 1,215,260.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.