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Finding the Third Proportional to 336,878 and 492,750

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Solution

The third proportional to 336,878 and 492,750 is: 720,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,878 : 492,750 = 492,750 : x
  2. Step 2: Convert to fraction form
    336,878/492,750 = 492,750/x
  3. Step 3: Cross multiply
    336,878x = 492,750 × 492,750
  4. Step 4: Simplify right side
    336,878x = 242,802,562,500
  5. Step 5: Solve for x
    x = 242,802,562,500/336,878
  6. Step 6: Final answer
    x = 720,743.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.