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Finding the Third Proportional to 255,822 and 357,834

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Solution

The third proportional to 255,822 and 357,834 is: 500,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,822 : 357,834 = 357,834 : x
  2. Step 2: Convert to fraction form
    255,822/357,834 = 357,834/x
  3. Step 3: Cross multiply
    255,822x = 357,834 × 357,834
  4. Step 4: Simplify right side
    255,822x = 128,045,171,556
  5. Step 5: Solve for x
    x = 128,045,171,556/255,822
  6. Step 6: Final answer
    x = 500,524.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.