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Finding the Third Proportional to 316,450.50 and 422,722.50

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Solution

The third proportional to 316,450.50 and 422,722.50 is: 564,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,450.50 : 422,722.50 = 422,722.50 : x
  2. Step 2: Convert to fraction form
    316,450.50/422,722.50 = 422,722.50/x
  3. Step 3: Cross multiply
    316,450.50x = 422,722.50 × 422,722.50
  4. Step 4: Simplify right side
    316,450.50x = 178,694,312,006.25
  5. Step 5: Solve for x
    x = 178,694,312,006.25/316,450.50
  6. Step 6: Final answer
    x = 564,683.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.