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Finding the Third Proportional to 214,904.63 and 331,378.50

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Solution

The third proportional to 214,904.63 and 331,378.50 is: 510,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,904.63 : 331,378.50 = 331,378.50 : x
  2. Step 2: Convert to fraction form
    214,904.63/331,378.50 = 331,378.50/x
  3. Step 3: Cross multiply
    214,904.63x = 331,378.50 × 331,378.50
  4. Step 4: Simplify right side
    214,904.63x = 109,811,710,262.25
  5. Step 5: Solve for x
    x = 109,811,710,262.25/214,904.63
  6. Step 6: Final answer
    x = 510,978.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.