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Finding the Third Proportional to 643,416 and 1,392,744

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Solution

The third proportional to 643,416 and 1,392,744 is: 3,014,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,416 : 1,392,744 = 1,392,744 : x
  2. Step 2: Convert to fraction form
    643,416/1,392,744 = 1,392,744/x
  3. Step 3: Cross multiply
    643,416x = 1,392,744 × 1,392,744
  4. Step 4: Simplify right side
    643,416x = 1,939,735,849,536
  5. Step 5: Solve for x
    x = 1,939,735,849,536/643,416
  6. Step 6: Final answer
    x = 3,014,746.06

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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.