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Finding the Third Proportional to 411,805 and 902,342

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Solution

The third proportional to 411,805 and 902,342 is: 1,977,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,805 : 902,342 = 902,342 : x
  2. Step 2: Convert to fraction form
    411,805/902,342 = 902,342/x
  3. Step 3: Cross multiply
    411,805x = 902,342 × 902,342
  4. Step 4: Simplify right side
    411,805x = 814,221,084,964
  5. Step 5: Solve for x
    x = 814,221,084,964/411,805
  6. Step 6: Final answer
    x = 1,977,200.58

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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.