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Finding the Third Proportional to 643,417 and 1,392,746

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Solution

The third proportional to 643,417 and 1,392,746 is: 3,014,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,417 : 1,392,746 = 1,392,746 : x
  2. Step 2: Convert to fraction form
    643,417/1,392,746 = 1,392,746/x
  3. Step 3: Cross multiply
    643,417x = 1,392,746 × 1,392,746
  4. Step 4: Simplify right side
    643,417x = 1,939,741,420,516
  5. Step 5: Solve for x
    x = 1,939,741,420,516/643,417
  6. Step 6: Final answer
    x = 3,014,750.03

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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.