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Finding the Third Proportional to 295,553 and 640,642

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Solution

The third proportional to 295,553 and 640,642 is: 1,388,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,553 : 640,642 = 640,642 : x
  2. Step 2: Convert to fraction form
    295,553/640,642 = 640,642/x
  3. Step 3: Cross multiply
    295,553x = 640,642 × 640,642
  4. Step 4: Simplify right side
    295,553x = 410,422,172,164
  5. Step 5: Solve for x
    x = 410,422,172,164/295,553
  6. Step 6: Final answer
    x = 1,388,658.45

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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.