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Finding the Third Proportional to 428,088 and 937,376

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Solution

The third proportional to 428,088 and 937,376 is: 2,052,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,088 : 937,376 = 937,376 : x
  2. Step 2: Convert to fraction form
    428,088/937,376 = 937,376/x
  3. Step 3: Cross multiply
    428,088x = 937,376 × 937,376
  4. Step 4: Simplify right side
    428,088x = 878,673,765,376
  5. Step 5: Solve for x
    x = 878,673,765,376/428,088
  6. Step 6: Final answer
    x = 2,052,554.07

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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.