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Finding the Third Proportional to 242,572 and 381,678

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Solution

The third proportional to 242,572 and 381,678 is: 600,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,572 : 381,678 = 381,678 : x
  2. Step 2: Convert to fraction form
    242,572/381,678 = 381,678/x
  3. Step 3: Cross multiply
    242,572x = 381,678 × 381,678
  4. Step 4: Simplify right side
    242,572x = 145,678,095,684
  5. Step 5: Solve for x
    x = 145,678,095,684/242,572
  6. Step 6: Final answer
    x = 600,556.11

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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.