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Finding the Third Proportional to 156,345 and 242,241

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Solution

The third proportional to 156,345 and 242,241 is: 375,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,345 : 242,241 = 242,241 : x
  2. Step 2: Convert to fraction form
    156,345/242,241 = 242,241/x
  3. Step 3: Cross multiply
    156,345x = 242,241 × 242,241
  4. Step 4: Simplify right side
    156,345x = 58,680,702,081
  5. Step 5: Solve for x
    x = 58,680,702,081/156,345
  6. Step 6: Final answer
    x = 375,328.29

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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.