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Finding the Third Proportional to 242,742 and 379,989

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Solution

The third proportional to 242,742 and 379,989 is: 594,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,742 : 379,989 = 379,989 : x
  2. Step 2: Convert to fraction form
    242,742/379,989 = 379,989/x
  3. Step 3: Cross multiply
    242,742x = 379,989 × 379,989
  4. Step 4: Simplify right side
    242,742x = 144,391,640,121
  5. Step 5: Solve for x
    x = 144,391,640,121/242,742
  6. Step 6: Final answer
    x = 594,835.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.