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Finding the Third Proportional to 440,437.50 and 661,783.50

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Solution

The third proportional to 440,437.50 and 661,783.50 is: 994,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,437.50 : 661,783.50 = 661,783.50 : x
  2. Step 2: Convert to fraction form
    440,437.50/661,783.50 = 661,783.50/x
  3. Step 3: Cross multiply
    440,437.50x = 661,783.50 × 661,783.50
  4. Step 4: Simplify right side
    440,437.50x = 437,957,400,872.25
  5. Step 5: Solve for x
    x = 437,957,400,872.25/440,437.50
  6. Step 6: Final answer
    x = 994,369.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.