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Finding the Third Proportional to 217,312.50 and 319,680

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Solution

The third proportional to 217,312.50 and 319,680 is: 470,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,312.50 : 319,680 = 319,680 : x
  2. Step 2: Convert to fraction form
    217,312.50/319,680 = 319,680/x
  3. Step 3: Cross multiply
    217,312.50x = 319,680 × 319,680
  4. Step 4: Simplify right side
    217,312.50x = 102,195,302,400
  5. Step 5: Solve for x
    x = 102,195,302,400/217,312.50
  6. Step 6: Final answer
    x = 470,268.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.