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Finding the Third Proportional to 642,976 and 1,374,529

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Solution

The third proportional to 642,976 and 1,374,529 is: 2,938,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,976 : 1,374,529 = 1,374,529 : x
  2. Step 2: Convert to fraction form
    642,976/1,374,529 = 1,374,529/x
  3. Step 3: Cross multiply
    642,976x = 1,374,529 × 1,374,529
  4. Step 4: Simplify right side
    642,976x = 1,889,329,971,841
  5. Step 5: Solve for x
    x = 1,889,329,971,841/642,976
  6. Step 6: Final answer
    x = 2,938,414.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.