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Finding the Third Proportional to 890,085 and 1,380,730.50

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Solution

The third proportional to 890,085 and 1,380,730.50 is: 2,141,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,085 : 1,380,730.50 = 1,380,730.50 : x
  2. Step 2: Convert to fraction form
    890,085/1,380,730.50 = 1,380,730.50/x
  3. Step 3: Cross multiply
    890,085x = 1,380,730.50 × 1,380,730.50
  4. Step 4: Simplify right side
    890,085x = 1,906,416,713,630.25
  5. Step 5: Solve for x
    x = 1,906,416,713,630.25/890,085
  6. Step 6: Final answer
    x = 2,141,836.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.