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Finding the Third Proportional to 439,520 and 949,120

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Solution

The third proportional to 439,520 and 949,120 is: 2,049,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,520 : 949,120 = 949,120 : x
  2. Step 2: Convert to fraction form
    439,520/949,120 = 949,120/x
  3. Step 3: Cross multiply
    439,520x = 949,120 × 949,120
  4. Step 4: Simplify right side
    439,520x = 900,828,774,400
  5. Step 5: Solve for x
    x = 900,828,774,400/439,520
  6. Step 6: Final answer
    x = 2,049,574.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.