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Finding the Third Proportional to 130,191 and 197,472

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Solution

The third proportional to 130,191 and 197,472 is: 299,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,191 : 197,472 = 197,472 : x
  2. Step 2: Convert to fraction form
    130,191/197,472 = 197,472/x
  3. Step 3: Cross multiply
    130,191x = 197,472 × 197,472
  4. Step 4: Simplify right side
    130,191x = 38,995,190,784
  5. Step 5: Solve for x
    x = 38,995,190,784/130,191
  6. Step 6: Final answer
    x = 299,522.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.