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Finding the Third Proportional to 242,800.50 and 567,102

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Solution

The third proportional to 242,800.50 and 567,102 is: 1,324,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,800.50 : 567,102 = 567,102 : x
  2. Step 2: Convert to fraction form
    242,800.50/567,102 = 567,102/x
  3. Step 3: Cross multiply
    242,800.50x = 567,102 × 567,102
  4. Step 4: Simplify right side
    242,800.50x = 321,604,678,404
  5. Step 5: Solve for x
    x = 321,604,678,404/242,800.50
  6. Step 6: Final answer
    x = 1,324,563.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.