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Finding the Third Proportional to 191,709 and 290,250

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Solution

The third proportional to 191,709 and 290,250 is: 439,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,709 : 290,250 = 290,250 : x
  2. Step 2: Convert to fraction form
    191,709/290,250 = 290,250/x
  3. Step 3: Cross multiply
    191,709x = 290,250 × 290,250
  4. Step 4: Simplify right side
    191,709x = 84,245,062,500
  5. Step 5: Solve for x
    x = 84,245,062,500/191,709
  6. Step 6: Final answer
    x = 439,442.40

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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.