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Finding the Third Proportional to 316,710 and 683,370

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Solution

The third proportional to 316,710 and 683,370 is: 1,474,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,710 : 683,370 = 683,370 : x
  2. Step 2: Convert to fraction form
    316,710/683,370 = 683,370/x
  3. Step 3: Cross multiply
    316,710x = 683,370 × 683,370
  4. Step 4: Simplify right side
    316,710x = 466,994,556,900
  5. Step 5: Solve for x
    x = 466,994,556,900/316,710
  6. Step 6: Final answer
    x = 1,474,517.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.