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Finding the Third Proportional to 470.23 and 717.87

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Solution

The third proportional to 470.23 and 717.87 is: 1,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.23 : 717.87 = 717.87 : x
  2. Step 2: Convert to fraction form
    470.23/717.87 = 717.87/x
  3. Step 3: Cross multiply
    470.23x = 717.87 × 717.87
  4. Step 4: Simplify right side
    470.23x = 515,341.71
  5. Step 5: Solve for x
    x = 515,341.71/470.23
  6. Step 6: Final answer
    x = 1,095.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.