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Finding the Third Proportional to 440,680.50 and 964,391.06

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Solution

The third proportional to 440,680.50 and 964,391.06 is: 2,110,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,680.50 : 964,391.06 = 964,391.06 : x
  2. Step 2: Convert to fraction form
    440,680.50/964,391.06 = 964,391.06/x
  3. Step 3: Cross multiply
    440,680.50x = 964,391.06 × 964,391.06
  4. Step 4: Simplify right side
    440,680.50x = 930,050,121,429.88
  5. Step 5: Solve for x
    x = 930,050,121,429.88/440,680.50
  6. Step 6: Final answer
    x = 2,110,486.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.