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Finding the Third Proportional to 783.31 and 1,670.88

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Solution

The third proportional to 783.31 and 1,670.88 is: 3,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.31 : 1,670.88 = 1,670.88 : x
  2. Step 2: Convert to fraction form
    783.31/1,670.88 = 1,670.88/x
  3. Step 3: Cross multiply
    783.31x = 1,670.88 × 1,670.88
  4. Step 4: Simplify right side
    783.31x = 2,791,823.27
  5. Step 5: Solve for x
    x = 2,791,823.27/783.31
  6. Step 6: Final answer
    x = 3,564.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.