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Finding the Third Proportional to 342,231 and 706,143

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Solution

The third proportional to 342,231 and 706,143 is: 1,457,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,231 : 706,143 = 706,143 : x
  2. Step 2: Convert to fraction form
    342,231/706,143 = 706,143/x
  3. Step 3: Cross multiply
    342,231x = 706,143 × 706,143
  4. Step 4: Simplify right side
    342,231x = 498,637,936,449
  5. Step 5: Solve for x
    x = 498,637,936,449/342,231
  6. Step 6: Final answer
    x = 1,457,021.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.