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Finding the Third Proportional to 577,914.75 and 889,562.25

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Solution

The third proportional to 577,914.75 and 889,562.25 is: 1,369,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,914.75 : 889,562.25 = 889,562.25 : x
  2. Step 2: Convert to fraction form
    577,914.75/889,562.25 = 889,562.25/x
  3. Step 3: Cross multiply
    577,914.75x = 889,562.25 × 889,562.25
  4. Step 4: Simplify right side
    577,914.75x = 791,320,996,625.06
  5. Step 5: Solve for x
    x = 791,320,996,625.06/577,914.75
  6. Step 6: Final answer
    x = 1,369,269.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.