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Finding the Third Proportional to 428,080 and 937,360

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Solution

The third proportional to 428,080 and 937,360 is: 2,052,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,080 : 937,360 = 937,360 : x
  2. Step 2: Convert to fraction form
    428,080/937,360 = 937,360/x
  3. Step 3: Cross multiply
    428,080x = 937,360 × 937,360
  4. Step 4: Simplify right side
    428,080x = 878,643,769,600
  5. Step 5: Solve for x
    x = 878,643,769,600/428,080
  6. Step 6: Final answer
    x = 2,052,522.35

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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.