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Finding the Third Proportional to 75,978.75 and 162,210.75

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Solution

The third proportional to 75,978.75 and 162,210.75 is: 346,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978.75 : 162,210.75 = 162,210.75 : x
  2. Step 2: Convert to fraction form
    75,978.75/162,210.75 = 162,210.75/x
  3. Step 3: Cross multiply
    75,978.75x = 162,210.75 × 162,210.75
  4. Step 4: Simplify right side
    75,978.75x = 26,312,327,415.56
  5. Step 5: Solve for x
    x = 26,312,327,415.56/75,978.75
  6. Step 6: Final answer
    x = 346,311.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.