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Finding the Third Proportional to 12,292,413.19 and 18,039,978.28

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Solution

The third proportional to 12,292,413.19 and 18,039,978.28 is: 26,474,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292,413.19 : 18,039,978.28 = 18,039,978.28 : x
  2. Step 2: Convert to fraction form
    12,292,413.19/18,039,978.28 = 18,039,978.28/x
  3. Step 3: Cross multiply
    12,292,413.19x = 18,039,978.28 × 18,039,978.28
  4. Step 4: Simplify right side
    12,292,413.19x = 325,440,816,387,971.69
  5. Step 5: Solve for x
    x = 325,440,816,387,971.69/12,292,413.19
  6. Step 6: Final answer
    x = 26,474,933.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.