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Finding the Third Proportional to 440,064 and 661,068

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Solution

The third proportional to 440,064 and 661,068 is: 993,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,064 : 661,068 = 661,068 : x
  2. Step 2: Convert to fraction form
    440,064/661,068 = 661,068/x
  3. Step 3: Cross multiply
    440,064x = 661,068 × 661,068
  4. Step 4: Simplify right side
    440,064x = 437,010,900,624
  5. Step 5: Solve for x
    x = 437,010,900,624/440,064
  6. Step 6: Final answer
    x = 993,062.15

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