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Finding the Third Proportional to 335,420 and 498,560

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Solution

The third proportional to 335,420 and 498,560 is: 741,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,420 : 498,560 = 498,560 : x
  2. Step 2: Convert to fraction form
    335,420/498,560 = 498,560/x
  3. Step 3: Cross multiply
    335,420x = 498,560 × 498,560
  4. Step 4: Simplify right side
    335,420x = 248,562,073,600
  5. Step 5: Solve for x
    x = 248,562,073,600/335,420
  6. Step 6: Final answer
    x = 741,047.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.