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Finding the Third Proportional to 230,410 and 329,487

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Solution

The third proportional to 230,410 and 329,487 is: 471,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,410 : 329,487 = 329,487 : x
  2. Step 2: Convert to fraction form
    230,410/329,487 = 329,487/x
  3. Step 3: Cross multiply
    230,410x = 329,487 × 329,487
  4. Step 4: Simplify right side
    230,410x = 108,561,683,169
  5. Step 5: Solve for x
    x = 108,561,683,169/230,410
  6. Step 6: Final answer
    x = 471,167.41

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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.