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Finding the Third Proportional to 384,654.64 and 890,405.87

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Solution

The third proportional to 384,654.64 and 890,405.87 is: 2,061,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,654.64 : 890,405.87 = 890,405.87 : x
  2. Step 2: Convert to fraction form
    384,654.64/890,405.87 = 890,405.87/x
  3. Step 3: Cross multiply
    384,654.64x = 890,405.87 × 890,405.87
  4. Step 4: Simplify right side
    384,654.64x = 792,822,610,061.01
  5. Step 5: Solve for x
    x = 792,822,610,061.01/384,654.64
  6. Step 6: Final answer
    x = 2,061,128.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.