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Finding the Third Proportional to 261,289.13 and 395,543.25

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Solution

The third proportional to 261,289.13 and 395,543.25 is: 598,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,289.13 : 395,543.25 = 395,543.25 : x
  2. Step 2: Convert to fraction form
    261,289.13/395,543.25 = 395,543.25/x
  3. Step 3: Cross multiply
    261,289.13x = 395,543.25 × 395,543.25
  4. Step 4: Simplify right side
    261,289.13x = 156,454,462,620.56
  5. Step 5: Solve for x
    x = 156,454,462,620.56/261,289.13
  6. Step 6: Final answer
    x = 598,779.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.