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Finding the Third Proportional to 153,730 and 196,431

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Solution

The third proportional to 153,730 and 196,431 is: 250,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,730 : 196,431 = 196,431 : x
  2. Step 2: Convert to fraction form
    153,730/196,431 = 196,431/x
  3. Step 3: Cross multiply
    153,730x = 196,431 × 196,431
  4. Step 4: Simplify right side
    153,730x = 38,585,137,761
  5. Step 5: Solve for x
    x = 38,585,137,761/153,730
  6. Step 6: Final answer
    x = 250,992.90

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.