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Finding the Third Proportional to 156,768 and 242,820

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Solution

The third proportional to 156,768 and 242,820 is: 376,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,768 : 242,820 = 242,820 : x
  2. Step 2: Convert to fraction form
    156,768/242,820 = 242,820/x
  3. Step 3: Cross multiply
    156,768x = 242,820 × 242,820
  4. Step 4: Simplify right side
    156,768x = 58,961,552,400
  5. Step 5: Solve for x
    x = 58,961,552,400/156,768
  6. Step 6: Final answer
    x = 376,107.07

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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.