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Finding the Third Proportional to 156,178 and 242,043

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Solution

The third proportional to 156,178 and 242,043 is: 375,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,178 : 242,043 = 242,043 : x
  2. Step 2: Convert to fraction form
    156,178/242,043 = 242,043/x
  3. Step 3: Cross multiply
    156,178x = 242,043 × 242,043
  4. Step 4: Simplify right side
    156,178x = 58,584,813,849
  5. Step 5: Solve for x
    x = 58,584,813,849/156,178
  6. Step 6: Final answer
    x = 375,115.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.