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Finding the Third Proportional to 643,413 and 1,392,738

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Solution

The third proportional to 643,413 and 1,392,738 is: 3,014,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,413 : 1,392,738 = 1,392,738 : x
  2. Step 2: Convert to fraction form
    643,413/1,392,738 = 1,392,738/x
  3. Step 3: Cross multiply
    643,413x = 1,392,738 × 1,392,738
  4. Step 4: Simplify right side
    643,413x = 1,939,719,136,644
  5. Step 5: Solve for x
    x = 1,939,719,136,644/643,413
  6. Step 6: Final answer
    x = 3,014,734.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.