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Finding the Third Proportional to 130,620 and 195,423

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Solution

The third proportional to 130,620 and 195,423 is: 292,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,620 : 195,423 = 195,423 : x
  2. Step 2: Convert to fraction form
    130,620/195,423 = 195,423/x
  3. Step 3: Cross multiply
    130,620x = 195,423 × 195,423
  4. Step 4: Simplify right side
    130,620x = 38,190,148,929
  5. Step 5: Solve for x
    x = 38,190,148,929/130,620
  6. Step 6: Final answer
    x = 292,375.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.