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Finding the Third Proportional to 643,428 and 1,413,756

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Solution

The third proportional to 643,428 and 1,413,756 is: 3,106,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,428 : 1,413,756 = 1,413,756 : x
  2. Step 2: Convert to fraction form
    643,428/1,413,756 = 1,413,756/x
  3. Step 3: Cross multiply
    643,428x = 1,413,756 × 1,413,756
  4. Step 4: Simplify right side
    643,428x = 1,998,706,027,536
  5. Step 5: Solve for x
    x = 1,998,706,027,536/643,428
  6. Step 6: Final answer
    x = 3,106,339.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.