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Finding the Third Proportional to 578,812.50 and 1,240,686

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Solution

The third proportional to 578,812.50 and 1,240,686 is: 2,659,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,812.50 : 1,240,686 = 1,240,686 : x
  2. Step 2: Convert to fraction form
    578,812.50/1,240,686 = 1,240,686/x
  3. Step 3: Cross multiply
    578,812.50x = 1,240,686 × 1,240,686
  4. Step 4: Simplify right side
    578,812.50x = 1,539,301,750,596
  5. Step 5: Solve for x
    x = 1,539,301,750,596/578,812.50
  6. Step 6: Final answer
    x = 2,659,413.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.