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Finding the Third Proportional to 705.60 and 1,056.39

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Solution

The third proportional to 705.60 and 1,056.39 is: 1,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,056.39 = 1,056.39 : x
  2. Step 2: Convert to fraction form
    705.60/1,056.39 = 1,056.39/x
  3. Step 3: Cross multiply
    705.60x = 1,056.39 × 1,056.39
  4. Step 4: Simplify right side
    705.60x = 1,115,962.96
  5. Step 5: Solve for x
    x = 1,115,962.96/705.60
  6. Step 6: Final answer
    x = 1,581.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.