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Finding the Third Proportional to 236,480 and 347,800

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Solution

The third proportional to 236,480 and 347,800 is: 511,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,480 : 347,800 = 347,800 : x
  2. Step 2: Convert to fraction form
    236,480/347,800 = 347,800/x
  3. Step 3: Cross multiply
    236,480x = 347,800 × 347,800
  4. Step 4: Simplify right side
    236,480x = 120,964,840,000
  5. Step 5: Solve for x
    x = 120,964,840,000/236,480
  6. Step 6: Final answer
    x = 511,522.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.