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Finding the Third Proportional to 246,870 and 330,321

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Solution

The third proportional to 246,870 and 330,321 is: 441,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,870 : 330,321 = 330,321 : x
  2. Step 2: Convert to fraction form
    246,870/330,321 = 330,321/x
  3. Step 3: Cross multiply
    246,870x = 330,321 × 330,321
  4. Step 4: Simplify right side
    246,870x = 109,111,963,041
  5. Step 5: Solve for x
    x = 109,111,963,041/246,870
  6. Step 6: Final answer
    x = 441,981.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.