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Finding the Third Proportional to 428,835 and 913,134

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Solution

The third proportional to 428,835 and 913,134 is: 1,944,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,835 : 913,134 = 913,134 : x
  2. Step 2: Convert to fraction form
    428,835/913,134 = 913,134/x
  3. Step 3: Cross multiply
    428,835x = 913,134 × 913,134
  4. Step 4: Simplify right side
    428,835x = 833,813,701,956
  5. Step 5: Solve for x
    x = 833,813,701,956/428,835
  6. Step 6: Final answer
    x = 1,944,369.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.