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Finding the Third Proportional to 316,130 and 691,274

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Solution

The third proportional to 316,130 and 691,274 is: 1,511,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,130 : 691,274 = 691,274 : x
  2. Step 2: Convert to fraction form
    316,130/691,274 = 691,274/x
  3. Step 3: Cross multiply
    316,130x = 691,274 × 691,274
  4. Step 4: Simplify right side
    316,130x = 477,859,743,076
  5. Step 5: Solve for x
    x = 477,859,743,076/316,130
  6. Step 6: Final answer
    x = 1,511,592.52

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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.