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Finding the Third Proportional to 156,778 and 242,835

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Solution

The third proportional to 156,778 and 242,835 is: 376,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 242,835 = 242,835 : x
  2. Step 2: Convert to fraction form
    156,778/242,835 = 242,835/x
  3. Step 3: Cross multiply
    156,778x = 242,835 × 242,835
  4. Step 4: Simplify right side
    156,778x = 58,968,837,225
  5. Step 5: Solve for x
    x = 58,968,837,225/156,778
  6. Step 6: Final answer
    x = 376,129.54

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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.