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Finding the Third Proportional to 156,248 and 338,416

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Solution

The third proportional to 156,248 and 338,416 is: 732,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,248 : 338,416 = 338,416 : x
  2. Step 2: Convert to fraction form
    156,248/338,416 = 338,416/x
  3. Step 3: Cross multiply
    156,248x = 338,416 × 338,416
  4. Step 4: Simplify right side
    156,248x = 114,525,389,056
  5. Step 5: Solve for x
    x = 114,525,389,056/156,248
  6. Step 6: Final answer
    x = 732,971.87

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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.