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Finding the Third Proportional to 783.84 and 1,656.28

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Solution

The third proportional to 783.84 and 1,656.28 is: 3,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,656.28 = 1,656.28 : x
  2. Step 2: Convert to fraction form
    783.84/1,656.28 = 1,656.28/x
  3. Step 3: Cross multiply
    783.84x = 1,656.28 × 1,656.28
  4. Step 4: Simplify right side
    783.84x = 2,743,267.58
  5. Step 5: Solve for x
    x = 2,743,267.58/783.84
  6. Step 6: Final answer
    x = 3,499.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.