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Finding the Third Proportional to 770.98 and 1,681.17

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Solution

The third proportional to 770.98 and 1,681.17 is: 3,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.98 : 1,681.17 = 1,681.17 : x
  2. Step 2: Convert to fraction form
    770.98/1,681.17 = 1,681.17/x
  3. Step 3: Cross multiply
    770.98x = 1,681.17 × 1,681.17
  4. Step 4: Simplify right side
    770.98x = 2,826,338.87
  5. Step 5: Solve for x
    x = 2,826,338.87/770.98
  6. Step 6: Final answer
    x = 3,665.92

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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.