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Finding the Third Proportional to 357,828 and 771,710

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Solution

The third proportional to 357,828 and 771,710 is: 1,664,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,828 : 771,710 = 771,710 : x
  2. Step 2: Convert to fraction form
    357,828/771,710 = 771,710/x
  3. Step 3: Cross multiply
    357,828x = 771,710 × 771,710
  4. Step 4: Simplify right side
    357,828x = 595,536,324,100
  5. Step 5: Solve for x
    x = 595,536,324,100/357,828
  6. Step 6: Final answer
    x = 1,664,308.90

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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.