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Finding the Third Proportional to 411,808 and 902,348

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Solution

The third proportional to 411,808 and 902,348 is: 1,977,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,808 : 902,348 = 902,348 : x
  2. Step 2: Convert to fraction form
    411,808/902,348 = 902,348/x
  3. Step 3: Cross multiply
    411,808x = 902,348 × 902,348
  4. Step 4: Simplify right side
    411,808x = 814,231,913,104
  5. Step 5: Solve for x
    x = 814,231,913,104/411,808
  6. Step 6: Final answer
    x = 1,977,212.47

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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.