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Finding the Third Proportional to 242,569.50 and 347,349

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Solution

The third proportional to 242,569.50 and 347,349 is: 497,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,569.50 : 347,349 = 347,349 : x
  2. Step 2: Convert to fraction form
    242,569.50/347,349 = 347,349/x
  3. Step 3: Cross multiply
    242,569.50x = 347,349 × 347,349
  4. Step 4: Simplify right side
    242,569.50x = 120,651,327,801
  5. Step 5: Solve for x
    x = 120,651,327,801/242,569.50
  6. Step 6: Final answer
    x = 497,388.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.