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Finding the Third Proportional to 156,276 and 242,136

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Solution

The third proportional to 156,276 and 242,136 is: 375,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,276 : 242,136 = 242,136 : x
  2. Step 2: Convert to fraction form
    156,276/242,136 = 242,136/x
  3. Step 3: Cross multiply
    156,276x = 242,136 × 242,136
  4. Step 4: Simplify right side
    156,276x = 58,629,842,496
  5. Step 5: Solve for x
    x = 58,629,842,496/156,276
  6. Step 6: Final answer
    x = 375,168.56

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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.