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Finding the Third Proportional to 305,256 and 663,060

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Solution

The third proportional to 305,256 and 663,060 is: 1,440,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,256 : 663,060 = 663,060 : x
  2. Step 2: Convert to fraction form
    305,256/663,060 = 663,060/x
  3. Step 3: Cross multiply
    305,256x = 663,060 × 663,060
  4. Step 4: Simplify right side
    305,256x = 439,648,563,600
  5. Step 5: Solve for x
    x = 439,648,563,600/305,256
  6. Step 6: Final answer
    x = 1,440,261.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.