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Finding the Third Proportional to 156,740 and 338,420

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Solution

The third proportional to 156,740 and 338,420 is: 730,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,740 : 338,420 = 338,420 : x
  2. Step 2: Convert to fraction form
    156,740/338,420 = 338,420/x
  3. Step 3: Cross multiply
    156,740x = 338,420 × 338,420
  4. Step 4: Simplify right side
    156,740x = 114,528,096,400
  5. Step 5: Solve for x
    x = 114,528,096,400/156,740
  6. Step 6: Final answer
    x = 730,688.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.