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Finding the Third Proportional to 343,624 and 710,819

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Solution

The third proportional to 343,624 and 710,819 is: 1,470,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,624 : 710,819 = 710,819 : x
  2. Step 2: Convert to fraction form
    343,624/710,819 = 710,819/x
  3. Step 3: Cross multiply
    343,624x = 710,819 × 710,819
  4. Step 4: Simplify right side
    343,624x = 505,263,650,761
  5. Step 5: Solve for x
    x = 505,263,650,761/343,624
  6. Step 6: Final answer
    x = 1,470,396.86

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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.