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Finding the Third Proportional to 434,570.91 and 661,976.30

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Solution

The third proportional to 434,570.91 and 661,976.30 is: 1,008,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,570.91 : 661,976.30 = 661,976.30 : x
  2. Step 2: Convert to fraction form
    434,570.91/661,976.30 = 661,976.30/x
  3. Step 3: Cross multiply
    434,570.91x = 661,976.30 × 661,976.30
  4. Step 4: Simplify right side
    434,570.91x = 438,212,617,624.34
  5. Step 5: Solve for x
    x = 438,212,617,624.34/434,570.91
  6. Step 6: Final answer
    x = 1,008,380.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.