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Finding the Third Proportional to 181,291.50 and 398,830.50

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Solution

The third proportional to 181,291.50 and 398,830.50 is: 877,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,291.50 : 398,830.50 = 398,830.50 : x
  2. Step 2: Convert to fraction form
    181,291.50/398,830.50 = 398,830.50/x
  3. Step 3: Cross multiply
    181,291.50x = 398,830.50 × 398,830.50
  4. Step 4: Simplify right side
    181,291.50x = 159,065,767,730.25
  5. Step 5: Solve for x
    x = 159,065,767,730.25/181,291.50
  6. Step 6: Final answer
    x = 877,403.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.