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Finding the Third Proportional to 428,767 and 937,507

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Solution

The third proportional to 428,767 and 937,507 is: 2,049,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,767 : 937,507 = 937,507 : x
  2. Step 2: Convert to fraction form
    428,767/937,507 = 937,507/x
  3. Step 3: Cross multiply
    428,767x = 937,507 × 937,507
  4. Step 4: Simplify right side
    428,767x = 878,919,375,049
  5. Step 5: Solve for x
    x = 878,919,375,049/428,767
  6. Step 6: Final answer
    x = 2,049,876.45

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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.