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Finding the Third Proportional to 858,270 and 1,827,420

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Solution

The third proportional to 858,270 and 1,827,420 is: 3,890,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,270 : 1,827,420 = 1,827,420 : x
  2. Step 2: Convert to fraction form
    858,270/1,827,420 = 1,827,420/x
  3. Step 3: Cross multiply
    858,270x = 1,827,420 × 1,827,420
  4. Step 4: Simplify right side
    858,270x = 3,339,463,856,400
  5. Step 5: Solve for x
    x = 3,339,463,856,400/858,270
  6. Step 6: Final answer
    x = 3,890,924.60

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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.