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Finding the Third Proportional to 299,152 and 639,808

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Solution

The third proportional to 299,152 and 639,808 is: 1,368,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,152 : 639,808 = 639,808 : x
  2. Step 2: Convert to fraction form
    299,152/639,808 = 639,808/x
  3. Step 3: Cross multiply
    299,152x = 639,808 × 639,808
  4. Step 4: Simplify right side
    299,152x = 409,354,276,864
  5. Step 5: Solve for x
    x = 409,354,276,864/299,152
  6. Step 6: Final answer
    x = 1,368,382.22

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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.