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Finding the Third Proportional to 228,143 and 344,057

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Solution

The third proportional to 228,143 and 344,057 is: 518,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,143 : 344,057 = 344,057 : x
  2. Step 2: Convert to fraction form
    228,143/344,057 = 344,057/x
  3. Step 3: Cross multiply
    228,143x = 344,057 × 344,057
  4. Step 4: Simplify right side
    228,143x = 118,375,219,249
  5. Step 5: Solve for x
    x = 118,375,219,249/228,143
  6. Step 6: Final answer
    x = 518,864.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.