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Finding the Third Proportional to 142,347 and 218,345

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Solution

The third proportional to 142,347 and 218,345 is: 334,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,347 : 218,345 = 218,345 : x
  2. Step 2: Convert to fraction form
    142,347/218,345 = 218,345/x
  3. Step 3: Cross multiply
    142,347x = 218,345 × 218,345
  4. Step 4: Simplify right side
    142,347x = 47,674,539,025
  5. Step 5: Solve for x
    x = 47,674,539,025/142,347
  6. Step 6: Final answer
    x = 334,917.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.