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Finding the Third Proportional to 421,590.75 and 920,227.50

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Solution

The third proportional to 421,590.75 and 920,227.50 is: 2,008,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,590.75 : 920,227.50 = 920,227.50 : x
  2. Step 2: Convert to fraction form
    421,590.75/920,227.50 = 920,227.50/x
  3. Step 3: Cross multiply
    421,590.75x = 920,227.50 × 920,227.50
  4. Step 4: Simplify right side
    421,590.75x = 846,818,651,756.25
  5. Step 5: Solve for x
    x = 846,818,651,756.25/421,590.75
  6. Step 6: Final answer
    x = 2,008,627.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.