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Finding the Third Proportional to 440,070 and 661,077

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Solution

The third proportional to 440,070 and 661,077 is: 993,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,070 : 661,077 = 661,077 : x
  2. Step 2: Convert to fraction form
    440,070/661,077 = 661,077/x
  3. Step 3: Cross multiply
    440,070x = 661,077 × 661,077
  4. Step 4: Simplify right side
    440,070x = 437,022,799,929
  5. Step 5: Solve for x
    x = 437,022,799,929/440,070
  6. Step 6: Final answer
    x = 993,075.65

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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.