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Finding the Third Proportional to 316,273 and 680,903

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Solution

The third proportional to 316,273 and 680,903 is: 1,465,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,273 : 680,903 = 680,903 : x
  2. Step 2: Convert to fraction form
    316,273/680,903 = 680,903/x
  3. Step 3: Cross multiply
    316,273x = 680,903 × 680,903
  4. Step 4: Simplify right side
    316,273x = 463,628,895,409
  5. Step 5: Solve for x
    x = 463,628,895,409/316,273
  6. Step 6: Final answer
    x = 1,465,913.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.