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Finding the Third Proportional to 296,360 and 640,105

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Solution

The third proportional to 296,360 and 640,105 is: 1,382,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,360 : 640,105 = 640,105 : x
  2. Step 2: Convert to fraction form
    296,360/640,105 = 640,105/x
  3. Step 3: Cross multiply
    296,360x = 640,105 × 640,105
  4. Step 4: Simplify right side
    296,360x = 409,734,411,025
  5. Step 5: Solve for x
    x = 409,734,411,025/296,360
  6. Step 6: Final answer
    x = 1,382,556.39

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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.