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Finding the Third Proportional to 779.66 and 1,688.98

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Solution

The third proportional to 779.66 and 1,688.98 is: 3,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.66 : 1,688.98 = 1,688.98 : x
  2. Step 2: Convert to fraction form
    779.66/1,688.98 = 1,688.98/x
  3. Step 3: Cross multiply
    779.66x = 1,688.98 × 1,688.98
  4. Step 4: Simplify right side
    779.66x = 2,852,641.83
  5. Step 5: Solve for x
    x = 2,852,641.83/779.66
  6. Step 6: Final answer
    x = 3,658.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.