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Finding the Third Proportional to 311,967.50 and 479,220

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Solution

The third proportional to 311,967.50 and 479,220 is: 736,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,967.50 : 479,220 = 479,220 : x
  2. Step 2: Convert to fraction form
    311,967.50/479,220 = 479,220/x
  3. Step 3: Cross multiply
    311,967.50x = 479,220 × 479,220
  4. Step 4: Simplify right side
    311,967.50x = 229,651,808,400
  5. Step 5: Solve for x
    x = 229,651,808,400/311,967.50
  6. Step 6: Final answer
    x = 736,140.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.