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Finding the Third Proportional to 305,425 and 665,061

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Solution

The third proportional to 305,425 and 665,061 is: 1,448,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,425 : 665,061 = 665,061 : x
  2. Step 2: Convert to fraction form
    305,425/665,061 = 665,061/x
  3. Step 3: Cross multiply
    305,425x = 665,061 × 665,061
  4. Step 4: Simplify right side
    305,425x = 442,306,133,721
  5. Step 5: Solve for x
    x = 442,306,133,721/305,425
  6. Step 6: Final answer
    x = 1,448,166.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.