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Finding the Third Proportional to 348,409 and 763,210

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Solution

The third proportional to 348,409 and 763,210 is: 1,671,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,409 : 763,210 = 763,210 : x
  2. Step 2: Convert to fraction form
    348,409/763,210 = 763,210/x
  3. Step 3: Cross multiply
    348,409x = 763,210 × 763,210
  4. Step 4: Simplify right side
    348,409x = 582,489,504,100
  5. Step 5: Solve for x
    x = 582,489,504,100/348,409
  6. Step 6: Final answer
    x = 1,671,855.50

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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.