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Finding the Third Proportional to 1,277.65 and 1,681.07

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Solution

The third proportional to 1,277.65 and 1,681.07 is: 2,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.65 : 1,681.07 = 1,681.07 : x
  2. Step 2: Convert to fraction form
    1,277.65/1,681.07 = 1,681.07/x
  3. Step 3: Cross multiply
    1,277.65x = 1,681.07 × 1,681.07
  4. Step 4: Simplify right side
    1,277.65x = 2,825,984.26
  5. Step 5: Solve for x
    x = 2,825,984.26/1,277.65
  6. Step 6: Final answer
    x = 2,211.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.