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Finding the Third Proportional to 190,429 and 279,750

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Solution

The third proportional to 190,429 and 279,750 is: 410,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,429 : 279,750 = 279,750 : x
  2. Step 2: Convert to fraction form
    190,429/279,750 = 279,750/x
  3. Step 3: Cross multiply
    190,429x = 279,750 × 279,750
  4. Step 4: Simplify right side
    190,429x = 78,260,062,500
  5. Step 5: Solve for x
    x = 78,260,062,500/190,429
  6. Step 6: Final answer
    x = 410,967.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.