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Finding the Third Proportional to 1,369.13 and 1,497.38

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Solution

The third proportional to 1,369.13 and 1,497.38 is: 1,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.13 : 1,497.38 = 1,497.38 : x
  2. Step 2: Convert to fraction form
    1,369.13/1,497.38 = 1,497.38/x
  3. Step 3: Cross multiply
    1,369.13x = 1,497.38 × 1,497.38
  4. Step 4: Simplify right side
    1,369.13x = 2,242,131.89
  5. Step 5: Solve for x
    x = 2,242,131.89/1,369.13
  6. Step 6: Final answer
    x = 1,637.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.