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Finding the Third Proportional to 156,170 and 332,347

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Solution

The third proportional to 156,170 and 332,347 is: 707,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,170 : 332,347 = 332,347 : x
  2. Step 2: Convert to fraction form
    156,170/332,347 = 332,347/x
  3. Step 3: Cross multiply
    156,170x = 332,347 × 332,347
  4. Step 4: Simplify right side
    156,170x = 110,454,528,409
  5. Step 5: Solve for x
    x = 110,454,528,409/156,170
  6. Step 6: Final answer
    x = 707,271.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.