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Finding the Third Proportional to 156,413 and 342,229

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Solution

The third proportional to 156,413 and 342,229 is: 748,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,413 : 342,229 = 342,229 : x
  2. Step 2: Convert to fraction form
    156,413/342,229 = 342,229/x
  3. Step 3: Cross multiply
    156,413x = 342,229 × 342,229
  4. Step 4: Simplify right side
    156,413x = 117,120,688,441
  5. Step 5: Solve for x
    x = 117,120,688,441/156,413
  6. Step 6: Final answer
    x = 748,791.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.