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Finding the Third Proportional to 242,190 and 521,640

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Solution

The third proportional to 242,190 and 521,640 is: 1,123,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,190 : 521,640 = 521,640 : x
  2. Step 2: Convert to fraction form
    242,190/521,640 = 521,640/x
  3. Step 3: Cross multiply
    242,190x = 521,640 × 521,640
  4. Step 4: Simplify right side
    242,190x = 272,108,289,600
  5. Step 5: Solve for x
    x = 272,108,289,600/242,190
  6. Step 6: Final answer
    x = 1,123,532.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.