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Finding the Third Proportional to 240,413.25 and 380,688.38

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Solution

The third proportional to 240,413.25 and 380,688.38 is: 602,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,413.25 : 380,688.38 = 380,688.38 : x
  2. Step 2: Convert to fraction form
    240,413.25/380,688.38 = 380,688.38/x
  3. Step 3: Cross multiply
    240,413.25x = 380,688.38 × 380,688.38
  4. Step 4: Simplify right side
    240,413.25x = 144,923,638,860.14
  5. Step 5: Solve for x
    x = 144,923,638,860.14/240,413.25
  6. Step 6: Final answer
    x = 602,810.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.