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Finding the Third Proportional to 229,959 and 345,226.50

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Solution

The third proportional to 229,959 and 345,226.50 is: 518,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,959 : 345,226.50 = 345,226.50 : x
  2. Step 2: Convert to fraction form
    229,959/345,226.50 = 345,226.50/x
  3. Step 3: Cross multiply
    229,959x = 345,226.50 × 345,226.50
  4. Step 4: Simplify right side
    229,959x = 119,181,336,302.25
  5. Step 5: Solve for x
    x = 119,181,336,302.25/229,959
  6. Step 6: Final answer
    x = 518,272.11

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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.