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Finding the Third Proportional to 295,551 and 640,638

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Solution

The third proportional to 295,551 and 640,638 is: 1,388,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,551 : 640,638 = 640,638 : x
  2. Step 2: Convert to fraction form
    295,551/640,638 = 640,638/x
  3. Step 3: Cross multiply
    295,551x = 640,638 × 640,638
  4. Step 4: Simplify right side
    295,551x = 410,417,047,044
  5. Step 5: Solve for x
    x = 410,417,047,044/295,551
  6. Step 6: Final answer
    x = 1,388,650.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.