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Finding the Third Proportional to 428,637 and 941,877

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Solution

The third proportional to 428,637 and 941,877 is: 2,069,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,637 : 941,877 = 941,877 : x
  2. Step 2: Convert to fraction form
    428,637/941,877 = 941,877/x
  3. Step 3: Cross multiply
    428,637x = 941,877 × 941,877
  4. Step 4: Simplify right side
    428,637x = 887,132,283,129
  5. Step 5: Solve for x
    x = 887,132,283,129/428,637
  6. Step 6: Final answer
    x = 2,069,658.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.