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Finding the Third Proportional to 70,272 and 156,128

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Solution

The third proportional to 70,272 and 156,128 is: 346,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,272 : 156,128 = 156,128 : x
  2. Step 2: Convert to fraction form
    70,272/156,128 = 156,128/x
  3. Step 3: Cross multiply
    70,272x = 156,128 × 156,128
  4. Step 4: Simplify right side
    70,272x = 24,375,952,384
  5. Step 5: Solve for x
    x = 24,375,952,384/70,272
  6. Step 6: Final answer
    x = 346,880.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.