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Finding the Third Proportional to 411,842 and 902,416

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Solution

The third proportional to 411,842 and 902,416 is: 1,977,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,842 : 902,416 = 902,416 : x
  2. Step 2: Convert to fraction form
    411,842/902,416 = 902,416/x
  3. Step 3: Cross multiply
    411,842x = 902,416 × 902,416
  4. Step 4: Simplify right side
    411,842x = 814,354,637,056
  5. Step 5: Solve for x
    x = 814,354,637,056/411,842
  6. Step 6: Final answer
    x = 1,977,347.23

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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.