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Finding the Third Proportional to 457.73 and 947.91

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Solution

The third proportional to 457.73 and 947.91 is: 1,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.73 : 947.91 = 947.91 : x
  2. Step 2: Convert to fraction form
    457.73/947.91 = 947.91/x
  3. Step 3: Cross multiply
    457.73x = 947.91 × 947.91
  4. Step 4: Simplify right side
    457.73x = 898,526.26
  5. Step 5: Solve for x
    x = 898,526.26/457.73
  6. Step 6: Final answer
    x = 1,962.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.