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Finding the Third Proportional to 665.30 and 929.95

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Solution

The third proportional to 665.30 and 929.95 is: 1,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.30 : 929.95 = 929.95 : x
  2. Step 2: Convert to fraction form
    665.30/929.95 = 929.95/x
  3. Step 3: Cross multiply
    665.30x = 929.95 × 929.95
  4. Step 4: Simplify right side
    665.30x = 864,812.81
  5. Step 5: Solve for x
    x = 864,812.81/665.30
  6. Step 6: Final answer
    x = 1,299.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.