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Finding the Third Proportional to 67,318 and 145,779

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Solution

The third proportional to 67,318 and 145,779 is: 315,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,318 : 145,779 = 145,779 : x
  2. Step 2: Convert to fraction form
    67,318/145,779 = 145,779/x
  3. Step 3: Cross multiply
    67,318x = 145,779 × 145,779
  4. Step 4: Simplify right side
    67,318x = 21,251,516,841
  5. Step 5: Solve for x
    x = 21,251,516,841/67,318
  6. Step 6: Final answer
    x = 315,688.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.