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Finding the Third Proportional to 455.06 and 700.31

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Solution

The third proportional to 455.06 and 700.31 is: 1,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 700.31 = 700.31 : x
  2. Step 2: Convert to fraction form
    455.06/700.31 = 700.31/x
  3. Step 3: Cross multiply
    455.06x = 700.31 × 700.31
  4. Step 4: Simplify right side
    455.06x = 490,437.60
  5. Step 5: Solve for x
    x = 490,437.60/455.06
  6. Step 6: Final answer
    x = 1,077.74

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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.