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Finding the Third Proportional to 348,407 and 763,206

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Solution

The third proportional to 348,407 and 763,206 is: 1,671,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,407 : 763,206 = 763,206 : x
  2. Step 2: Convert to fraction form
    348,407/763,206 = 763,206/x
  3. Step 3: Cross multiply
    348,407x = 763,206 × 763,206
  4. Step 4: Simplify right side
    348,407x = 582,483,398,436
  5. Step 5: Solve for x
    x = 582,483,398,436/348,407
  6. Step 6: Final answer
    x = 1,671,847.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.