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Finding the Third Proportional to 411,810 and 902,352

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Solution

The third proportional to 411,810 and 902,352 is: 1,977,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,810 : 902,352 = 902,352 : x
  2. Step 2: Convert to fraction form
    411,810/902,352 = 902,352/x
  3. Step 3: Cross multiply
    411,810x = 902,352 × 902,352
  4. Step 4: Simplify right side
    411,810x = 814,239,131,904
  5. Step 5: Solve for x
    x = 814,239,131,904/411,810
  6. Step 6: Final answer
    x = 1,977,220.40

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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.