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Finding the Third Proportional to 428,031 and 911,358

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Solution

The third proportional to 428,031 and 911,358 is: 1,940,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,031 : 911,358 = 911,358 : x
  2. Step 2: Convert to fraction form
    428,031/911,358 = 911,358/x
  3. Step 3: Cross multiply
    428,031x = 911,358 × 911,358
  4. Step 4: Simplify right side
    428,031x = 830,573,404,164
  5. Step 5: Solve for x
    x = 830,573,404,164/428,031
  6. Step 6: Final answer
    x = 1,940,451.52

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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.