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Finding the Third Proportional to 156,790 and 242,853

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Solution

The third proportional to 156,790 and 242,853 is: 376,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,790 : 242,853 = 242,853 : x
  2. Step 2: Convert to fraction form
    156,790/242,853 = 242,853/x
  3. Step 3: Cross multiply
    156,790x = 242,853 × 242,853
  4. Step 4: Simplify right side
    156,790x = 58,977,579,609
  5. Step 5: Solve for x
    x = 58,977,579,609/156,790
  6. Step 6: Final answer
    x = 376,156.51

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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.