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Finding the Third Proportional to 573.98 and 1,244.07

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Solution

The third proportional to 573.98 and 1,244.07 is: 2,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 1,244.07 = 1,244.07 : x
  2. Step 2: Convert to fraction form
    573.98/1,244.07 = 1,244.07/x
  3. Step 3: Cross multiply
    573.98x = 1,244.07 × 1,244.07
  4. Step 4: Simplify right side
    573.98x = 1,547,709.73
  5. Step 5: Solve for x
    x = 1,547,709.73/573.98
  6. Step 6: Final answer
    x = 2,696.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.