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Finding the Third Proportional to 411,985 and 902,518

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Solution

The third proportional to 411,985 and 902,518 is: 1,977,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,985 : 902,518 = 902,518 : x
  2. Step 2: Convert to fraction form
    411,985/902,518 = 902,518/x
  3. Step 3: Cross multiply
    411,985x = 902,518 × 902,518
  4. Step 4: Simplify right side
    411,985x = 814,538,740,324
  5. Step 5: Solve for x
    x = 814,538,740,324/411,985
  6. Step 6: Final answer
    x = 1,977,107.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.