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Finding the Third Proportional to 210.94 and 314.93

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Solution

The third proportional to 210.94 and 314.93 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 314.93 = 314.93 : x
  2. Step 2: Convert to fraction form
    210.94/314.93 = 314.93/x
  3. Step 3: Cross multiply
    210.94x = 314.93 × 314.93
  4. Step 4: Simplify right side
    210.94x = 99,180.71
  5. Step 5: Solve for x
    x = 99,180.71/210.94
  6. Step 6: Final answer
    x = 470.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.