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Finding the Third Proportional to 457.31 and 975.09

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Solution

The third proportional to 457.31 and 975.09 is: 2,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 975.09 = 975.09 : x
  2. Step 2: Convert to fraction form
    457.31/975.09 = 975.09/x
  3. Step 3: Cross multiply
    457.31x = 975.09 × 975.09
  4. Step 4: Simplify right side
    457.31x = 950,807.82
  5. Step 5: Solve for x
    x = 950,807.82/457.31
  6. Step 6: Final answer
    x = 2,079.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.