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Finding the Third Proportional to 643,624.50 and 1,388,415

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Solution

The third proportional to 643,624.50 and 1,388,415 is: 2,995,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,624.50 : 1,388,415 = 1,388,415 : x
  2. Step 2: Convert to fraction form
    643,624.50/1,388,415 = 1,388,415/x
  3. Step 3: Cross multiply
    643,624.50x = 1,388,415 × 1,388,415
  4. Step 4: Simplify right side
    643,624.50x = 1,927,696,212,225
  5. Step 5: Solve for x
    x = 1,927,696,212,225/643,624.50
  6. Step 6: Final answer
    x = 2,995,063.44

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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.