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Finding the Third Proportional to 769.95 and 1,688.93

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Solution

The third proportional to 769.95 and 1,688.93 is: 3,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.95 : 1,688.93 = 1,688.93 : x
  2. Step 2: Convert to fraction form
    769.95/1,688.93 = 1,688.93/x
  3. Step 3: Cross multiply
    769.95x = 1,688.93 × 1,688.93
  4. Step 4: Simplify right side
    769.95x = 2,852,483.49
  5. Step 5: Solve for x
    x = 2,852,483.49/769.95
  6. Step 6: Final answer
    x = 3,704.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.