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Finding the Third Proportional to 266,490.75 and 398,470.50

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Solution

The third proportional to 266,490.75 and 398,470.50 is: 595,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,490.75 : 398,470.50 = 398,470.50 : x
  2. Step 2: Convert to fraction form
    266,490.75/398,470.50 = 398,470.50/x
  3. Step 3: Cross multiply
    266,490.75x = 398,470.50 × 398,470.50
  4. Step 4: Simplify right side
    266,490.75x = 158,778,739,370.25
  5. Step 5: Solve for x
    x = 158,778,739,370.25/266,490.75
  6. Step 6: Final answer
    x = 595,813.32

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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.