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Finding the Third Proportional to 428,878.13 and 916,653.38

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Solution

The third proportional to 428,878.13 and 916,653.38 is: 1,959,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,878.13 : 916,653.38 = 916,653.38 : x
  2. Step 2: Convert to fraction form
    428,878.13/916,653.38 = 916,653.38/x
  3. Step 3: Cross multiply
    428,878.13x = 916,653.38 × 916,653.38
  4. Step 4: Simplify right side
    428,878.13x = 840,253,409,898.89
  5. Step 5: Solve for x
    x = 840,253,409,898.89/428,878.13
  6. Step 6: Final answer
    x = 1,959,189.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.