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Finding the Third Proportional to 428,126 and 666,700

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Solution

The third proportional to 428,126 and 666,700 is: 1,038,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,126 : 666,700 = 666,700 : x
  2. Step 2: Convert to fraction form
    428,126/666,700 = 666,700/x
  3. Step 3: Cross multiply
    428,126x = 666,700 × 666,700
  4. Step 4: Simplify right side
    428,126x = 444,488,890,000
  5. Step 5: Solve for x
    x = 444,488,890,000/428,126
  6. Step 6: Final answer
    x = 1,038,219.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.