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Finding the Third Proportional to 131,490 and 195,207

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Solution

The third proportional to 131,490 and 195,207 is: 289,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,490 : 195,207 = 195,207 : x
  2. Step 2: Convert to fraction form
    131,490/195,207 = 195,207/x
  3. Step 3: Cross multiply
    131,490x = 195,207 × 195,207
  4. Step 4: Simplify right side
    131,490x = 38,105,772,849
  5. Step 5: Solve for x
    x = 38,105,772,849/131,490
  6. Step 6: Final answer
    x = 289,799.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.