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Finding the Third Proportional to 642,510 and 902,529

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Solution

The third proportional to 642,510 and 902,529 is: 1,267,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,510 : 902,529 = 902,529 : x
  2. Step 2: Convert to fraction form
    642,510/902,529 = 902,529/x
  3. Step 3: Cross multiply
    642,510x = 902,529 × 902,529
  4. Step 4: Simplify right side
    642,510x = 814,558,595,841
  5. Step 5: Solve for x
    x = 814,558,595,841/642,510
  6. Step 6: Final answer
    x = 1,267,775.75

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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.