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Finding the Third Proportional to 210,545 and 323,625

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Solution

The third proportional to 210,545 and 323,625 is: 497,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,545 : 323,625 = 323,625 : x
  2. Step 2: Convert to fraction form
    210,545/323,625 = 323,625/x
  3. Step 3: Cross multiply
    210,545x = 323,625 × 323,625
  4. Step 4: Simplify right side
    210,545x = 104,733,140,625
  5. Step 5: Solve for x
    x = 104,733,140,625/210,545
  6. Step 6: Final answer
    x = 497,438.27

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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.