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Finding the Third Proportional to 210,542 and 323,623

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Solution

The third proportional to 210,542 and 323,623 is: 497,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,542 : 323,623 = 323,623 : x
  2. Step 2: Convert to fraction form
    210,542/323,623 = 323,623/x
  3. Step 3: Cross multiply
    210,542x = 323,623 × 323,623
  4. Step 4: Simplify right side
    210,542x = 104,731,846,129
  5. Step 5: Solve for x
    x = 104,731,846,129/210,542
  6. Step 6: Final answer
    x = 497,439.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.