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Finding the Third Proportional to 645,122 and 902,293

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Solution

The third proportional to 645,122 and 902,293 is: 1,261,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,122 : 902,293 = 902,293 : x
  2. Step 2: Convert to fraction form
    645,122/902,293 = 902,293/x
  3. Step 3: Cross multiply
    645,122x = 902,293 × 902,293
  4. Step 4: Simplify right side
    645,122x = 814,132,657,849
  5. Step 5: Solve for x
    x = 814,132,657,849/645,122
  6. Step 6: Final answer
    x = 1,261,982.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.