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Finding the Third Proportional to 156,282 and 242,145

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Solution

The third proportional to 156,282 and 242,145 is: 375,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,282 : 242,145 = 242,145 : x
  2. Step 2: Convert to fraction form
    156,282/242,145 = 242,145/x
  3. Step 3: Cross multiply
    156,282x = 242,145 × 242,145
  4. Step 4: Simplify right side
    156,282x = 58,634,201,025
  5. Step 5: Solve for x
    x = 58,634,201,025/156,282
  6. Step 6: Final answer
    x = 375,182.05

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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.