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Finding the Third Proportional to 354,918 and 531,830

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Solution

The third proportional to 354,918 and 531,830 is: 796,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,918 : 531,830 = 531,830 : x
  2. Step 2: Convert to fraction form
    354,918/531,830 = 531,830/x
  3. Step 3: Cross multiply
    354,918x = 531,830 × 531,830
  4. Step 4: Simplify right side
    354,918x = 282,843,148,900
  5. Step 5: Solve for x
    x = 282,843,148,900/354,918
  6. Step 6: Final answer
    x = 796,925.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.