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Finding the Third Proportional to 642,912 and 1,400,115

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Solution

The third proportional to 642,912 and 1,400,115 is: 3,049,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,912 : 1,400,115 = 1,400,115 : x
  2. Step 2: Convert to fraction form
    642,912/1,400,115 = 1,400,115/x
  3. Step 3: Cross multiply
    642,912x = 1,400,115 × 1,400,115
  4. Step 4: Simplify right side
    642,912x = 1,960,322,013,225
  5. Step 5: Solve for x
    x = 1,960,322,013,225/642,912
  6. Step 6: Final answer
    x = 3,049,129.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.