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Finding the Third Proportional to 242,566 and 381,669

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Solution

The third proportional to 242,566 and 381,669 is: 600,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,566 : 381,669 = 381,669 : x
  2. Step 2: Convert to fraction form
    242,566/381,669 = 381,669/x
  3. Step 3: Cross multiply
    242,566x = 381,669 × 381,669
  4. Step 4: Simplify right side
    242,566x = 145,671,225,561
  5. Step 5: Solve for x
    x = 145,671,225,561/242,566
  6. Step 6: Final answer
    x = 600,542.64

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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.