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Finding the Third Proportional to 505,420 and 788,538

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Solution

The third proportional to 505,420 and 788,538 is: 1,230,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,420 : 788,538 = 788,538 : x
  2. Step 2: Convert to fraction form
    505,420/788,538 = 788,538/x
  3. Step 3: Cross multiply
    505,420x = 788,538 × 788,538
  4. Step 4: Simplify right side
    505,420x = 621,792,177,444
  5. Step 5: Solve for x
    x = 621,792,177,444/505,420
  6. Step 6: Final answer
    x = 1,230,248.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.