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Finding the Third Proportional to 488.63 and 706.31

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Solution

The third proportional to 488.63 and 706.31 is: 1,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 706.31 = 706.31 : x
  2. Step 2: Convert to fraction form
    488.63/706.31 = 706.31/x
  3. Step 3: Cross multiply
    488.63x = 706.31 × 706.31
  4. Step 4: Simplify right side
    488.63x = 498,877.35
  5. Step 5: Solve for x
    x = 498,877.35/488.63
  6. Step 6: Final answer
    x = 1,020.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.