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Finding the Third Proportional to 783.47 and 1,686.66

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Solution

The third proportional to 783.47 and 1,686.66 is: 3,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.47 : 1,686.66 = 1,686.66 : x
  2. Step 2: Convert to fraction form
    783.47/1,686.66 = 1,686.66/x
  3. Step 3: Cross multiply
    783.47x = 1,686.66 × 1,686.66
  4. Step 4: Simplify right side
    783.47x = 2,844,809.31
  5. Step 5: Solve for x
    x = 2,844,809.31/783.47
  6. Step 6: Final answer
    x = 3,631.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.