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Finding the Third Proportional to 148,610 and 320,548

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Solution

The third proportional to 148,610 and 320,548 is: 691,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,610 : 320,548 = 320,548 : x
  2. Step 2: Convert to fraction form
    148,610/320,548 = 320,548/x
  3. Step 3: Cross multiply
    148,610x = 320,548 × 320,548
  4. Step 4: Simplify right side
    148,610x = 102,751,020,304
  5. Step 5: Solve for x
    x = 102,751,020,304/148,610
  6. Step 6: Final answer
    x = 691,413.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.