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Finding the Third Proportional to 142,360 and 218,366

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Solution

The third proportional to 142,360 and 218,366 is: 334,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,360 : 218,366 = 218,366 : x
  2. Step 2: Convert to fraction form
    142,360/218,366 = 218,366/x
  3. Step 3: Cross multiply
    142,360x = 218,366 × 218,366
  4. Step 4: Simplify right side
    142,360x = 47,683,709,956
  5. Step 5: Solve for x
    x = 47,683,709,956/142,360
  6. Step 6: Final answer
    x = 334,951.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.