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Finding the Third Proportional to 653,311.13 and 996,574.50

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Solution

The third proportional to 653,311.13 and 996,574.50 is: 1,520,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,311.13 : 996,574.50 = 996,574.50 : x
  2. Step 2: Convert to fraction form
    653,311.13/996,574.50 = 996,574.50/x
  3. Step 3: Cross multiply
    653,311.13x = 996,574.50 × 996,574.50
  4. Step 4: Simplify right side
    653,311.13x = 993,160,734,050.25
  5. Step 5: Solve for x
    x = 993,160,734,050.25/653,311.13
  6. Step 6: Final answer
    x = 1,520,195.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.