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Finding the Third Proportional to 428,769 and 937,511

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Solution

The third proportional to 428,769 and 937,511 is: 2,049,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,769 : 937,511 = 937,511 : x
  2. Step 2: Convert to fraction form
    428,769/937,511 = 937,511/x
  3. Step 3: Cross multiply
    428,769x = 937,511 × 937,511
  4. Step 4: Simplify right side
    428,769x = 878,926,875,121
  5. Step 5: Solve for x
    x = 878,926,875,121/428,769
  6. Step 6: Final answer
    x = 2,049,884.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.