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Finding the Third Proportional to 680,221.50 and 983,311.50

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Solution

The third proportional to 680,221.50 and 983,311.50 is: 1,421,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,221.50 : 983,311.50 = 983,311.50 : x
  2. Step 2: Convert to fraction form
    680,221.50/983,311.50 = 983,311.50/x
  3. Step 3: Cross multiply
    680,221.50x = 983,311.50 × 983,311.50
  4. Step 4: Simplify right side
    680,221.50x = 966,901,506,032.25
  5. Step 5: Solve for x
    x = 966,901,506,032.25/680,221.50
  6. Step 6: Final answer
    x = 1,421,450.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.