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Finding the Third Proportional to 578,577.75 and 867,296.25

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Solution

The third proportional to 578,577.75 and 867,296.25 is: 1,300,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,577.75 : 867,296.25 = 867,296.25 : x
  2. Step 2: Convert to fraction form
    578,577.75/867,296.25 = 867,296.25/x
  3. Step 3: Cross multiply
    578,577.75x = 867,296.25 × 867,296.25
  4. Step 4: Simplify right side
    578,577.75x = 752,202,785,264.06
  5. Step 5: Solve for x
    x = 752,202,785,264.06/578,577.75
  6. Step 6: Final answer
    x = 1,300,089.37

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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.