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Finding the Third Proportional to 454,659.75 and 661,999.50

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Solution

The third proportional to 454,659.75 and 661,999.50 is: 963,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,659.75 : 661,999.50 = 661,999.50 : x
  2. Step 2: Convert to fraction form
    454,659.75/661,999.50 = 661,999.50/x
  3. Step 3: Cross multiply
    454,659.75x = 661,999.50 × 661,999.50
  4. Step 4: Simplify right side
    454,659.75x = 438,243,338,000.25
  5. Step 5: Solve for x
    x = 438,243,338,000.25/454,659.75
  6. Step 6: Final answer
    x = 963,892.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.