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Finding the Third Proportional to 311,655 and 666,510

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Solution

The third proportional to 311,655 and 666,510 is: 1,425,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,655 : 666,510 = 666,510 : x
  2. Step 2: Convert to fraction form
    311,655/666,510 = 666,510/x
  3. Step 3: Cross multiply
    311,655x = 666,510 × 666,510
  4. Step 4: Simplify right side
    311,655x = 444,235,580,100
  5. Step 5: Solve for x
    x = 444,235,580,100/311,655
  6. Step 6: Final answer
    x = 1,425,408.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.