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Finding the Third Proportional to 350,029 and 763,409

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Solution

The third proportional to 350,029 and 763,409 is: 1,664,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,029 : 763,409 = 763,409 : x
  2. Step 2: Convert to fraction form
    350,029/763,409 = 763,409/x
  3. Step 3: Cross multiply
    350,029x = 763,409 × 763,409
  4. Step 4: Simplify right side
    350,029x = 582,793,301,281
  5. Step 5: Solve for x
    x = 582,793,301,281/350,029
  6. Step 6: Final answer
    x = 1,664,985.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.