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Finding the Third Proportional to 343,638 and 710,847

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Solution

The third proportional to 343,638 and 710,847 is: 1,470,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,638 : 710,847 = 710,847 : x
  2. Step 2: Convert to fraction form
    343,638/710,847 = 710,847/x
  3. Step 3: Cross multiply
    343,638x = 710,847 × 710,847
  4. Step 4: Simplify right side
    343,638x = 505,303,457,409
  5. Step 5: Solve for x
    x = 505,303,457,409/343,638
  6. Step 6: Final answer
    x = 1,470,452.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.