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Finding the Third Proportional to 354,807 and 775,170

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Solution

The third proportional to 354,807 and 775,170 is: 1,693,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,807 : 775,170 = 775,170 : x
  2. Step 2: Convert to fraction form
    354,807/775,170 = 775,170/x
  3. Step 3: Cross multiply
    354,807x = 775,170 × 775,170
  4. Step 4: Simplify right side
    354,807x = 600,888,528,900
  5. Step 5: Solve for x
    x = 600,888,528,900/354,807
  6. Step 6: Final answer
    x = 1,693,564.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.