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Finding the Third Proportional to 156,770 and 242,823

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Solution

The third proportional to 156,770 and 242,823 is: 376,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,770 : 242,823 = 242,823 : x
  2. Step 2: Convert to fraction form
    156,770/242,823 = 242,823/x
  3. Step 3: Cross multiply
    156,770x = 242,823 × 242,823
  4. Step 4: Simplify right side
    156,770x = 58,963,009,329
  5. Step 5: Solve for x
    x = 58,963,009,329/156,770
  6. Step 6: Final answer
    x = 376,111.56

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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.