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Finding the Third Proportional to 299,113 and 640,263

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Solution

The third proportional to 299,113 and 640,263 is: 1,370,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,113 : 640,263 = 640,263 : x
  2. Step 2: Convert to fraction form
    299,113/640,263 = 640,263/x
  3. Step 3: Cross multiply
    299,113x = 640,263 × 640,263
  4. Step 4: Simplify right side
    299,113x = 409,936,709,169
  5. Step 5: Solve for x
    x = 409,936,709,169/299,113
  6. Step 6: Final answer
    x = 1,370,507.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.