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Finding the Third Proportional to 458.91 and 653.81

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Solution

The third proportional to 458.91 and 653.81 is: 931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 653.81 = 653.81 : x
  2. Step 2: Convert to fraction form
    458.91/653.81 = 653.81/x
  3. Step 3: Cross multiply
    458.91x = 653.81 × 653.81
  4. Step 4: Simplify right side
    458.91x = 427,470.79
  5. Step 5: Solve for x
    x = 427,470.79/458.91
  6. Step 6: Final answer
    x = 931.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.