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Finding the Third Proportional to 261,751.50 and 415,145.25

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Solution

The third proportional to 261,751.50 and 415,145.25 is: 658,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,751.50 : 415,145.25 = 415,145.25 : x
  2. Step 2: Convert to fraction form
    261,751.50/415,145.25 = 415,145.25/x
  3. Step 3: Cross multiply
    261,751.50x = 415,145.25 × 415,145.25
  4. Step 4: Simplify right side
    261,751.50x = 172,345,578,597.56
  5. Step 5: Solve for x
    x = 172,345,578,597.56/261,751.50
  6. Step 6: Final answer
    x = 658,432.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.