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Finding the Third Proportional to 378,202 and 559,835

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Solution

The third proportional to 378,202 and 559,835 is: 828,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,202 : 559,835 = 559,835 : x
  2. Step 2: Convert to fraction form
    378,202/559,835 = 559,835/x
  3. Step 3: Cross multiply
    378,202x = 559,835 × 559,835
  4. Step 4: Simplify right side
    378,202x = 313,415,227,225
  5. Step 5: Solve for x
    x = 313,415,227,225/378,202
  6. Step 6: Final answer
    x = 828,697.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.