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Finding the Third Proportional to 690.47 and 1,506.66

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Solution

The third proportional to 690.47 and 1,506.66 is: 3,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.47 : 1,506.66 = 1,506.66 : x
  2. Step 2: Convert to fraction form
    690.47/1,506.66 = 1,506.66/x
  3. Step 3: Cross multiply
    690.47x = 1,506.66 × 1,506.66
  4. Step 4: Simplify right side
    690.47x = 2,270,013.06
  5. Step 5: Solve for x
    x = 2,270,013.06/690.47
  6. Step 6: Final answer
    x = 3,287.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.