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Finding the Third Proportional to 158,271 and 322,397

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Solution

The third proportional to 158,271 and 322,397 is: 656,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,271 : 322,397 = 322,397 : x
  2. Step 2: Convert to fraction form
    158,271/322,397 = 322,397/x
  3. Step 3: Cross multiply
    158,271x = 322,397 × 322,397
  4. Step 4: Simplify right side
    158,271x = 103,939,825,609
  5. Step 5: Solve for x
    x = 103,939,825,609/158,271
  6. Step 6: Final answer
    x = 656,720.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.