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Finding the Third Proportional to 508,809 and 791,230.50

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Solution

The third proportional to 508,809 and 791,230.50 is: 1,230,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,809 : 791,230.50 = 791,230.50 : x
  2. Step 2: Convert to fraction form
    508,809/791,230.50 = 791,230.50/x
  3. Step 3: Cross multiply
    508,809x = 791,230.50 × 791,230.50
  4. Step 4: Simplify right side
    508,809x = 626,045,704,130.25
  5. Step 5: Solve for x
    x = 626,045,704,130.25/508,809
  6. Step 6: Final answer
    x = 1,230,413.97

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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.