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Finding the Third Proportional to 393,077 and 623,424

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Solution

The third proportional to 393,077 and 623,424 is: 988,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,077 : 623,424 = 623,424 : x
  2. Step 2: Convert to fraction form
    393,077/623,424 = 623,424/x
  3. Step 3: Cross multiply
    393,077x = 623,424 × 623,424
  4. Step 4: Simplify right side
    393,077x = 388,657,483,776
  5. Step 5: Solve for x
    x = 388,657,483,776/393,077
  6. Step 6: Final answer
    x = 988,756.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.