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Finding the Third Proportional to 299,377 and 645,410

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Solution

The third proportional to 299,377 and 645,410 is: 1,391,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,377 : 645,410 = 645,410 : x
  2. Step 2: Convert to fraction form
    299,377/645,410 = 645,410/x
  3. Step 3: Cross multiply
    299,377x = 645,410 × 645,410
  4. Step 4: Simplify right side
    299,377x = 416,554,068,100
  5. Step 5: Solve for x
    x = 416,554,068,100/299,377
  6. Step 6: Final answer
    x = 1,391,403.04

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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.