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Finding the Third Proportional to 295,788 and 644,415

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Solution

The third proportional to 295,788 and 644,415 is: 1,403,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,788 : 644,415 = 644,415 : x
  2. Step 2: Convert to fraction form
    295,788/644,415 = 644,415/x
  3. Step 3: Cross multiply
    295,788x = 644,415 × 644,415
  4. Step 4: Simplify right side
    295,788x = 415,270,692,225
  5. Step 5: Solve for x
    x = 415,270,692,225/295,788
  6. Step 6: Final answer
    x = 1,403,947.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.