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Finding the Third Proportional to 645,123 and 902,295

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Solution

The third proportional to 645,123 and 902,295 is: 1,261,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,123 : 902,295 = 902,295 : x
  2. Step 2: Convert to fraction form
    645,123/902,295 = 902,295/x
  3. Step 3: Cross multiply
    645,123x = 902,295 × 902,295
  4. Step 4: Simplify right side
    645,123x = 814,136,267,025
  5. Step 5: Solve for x
    x = 814,136,267,025/645,123
  6. Step 6: Final answer
    x = 1,261,986.11

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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.