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Finding the Third Proportional to 684.31 and 1,056.94

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Solution

The third proportional to 684.31 and 1,056.94 is: 1,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.31 : 1,056.94 = 1,056.94 : x
  2. Step 2: Convert to fraction form
    684.31/1,056.94 = 1,056.94/x
  3. Step 3: Cross multiply
    684.31x = 1,056.94 × 1,056.94
  4. Step 4: Simplify right side
    684.31x = 1,117,116.88
  5. Step 5: Solve for x
    x = 1,117,116.88/684.31
  6. Step 6: Final answer
    x = 1,632.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.