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Finding the Third Proportional to 7,845,258.50 and 18,320,010.50

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Solution

The third proportional to 7,845,258.50 and 18,320,010.50 is: 42,780,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845,258.50 : 18,320,010.50 = 18,320,010.50 : x
  2. Step 2: Convert to fraction form
    7,845,258.50/18,320,010.50 = 18,320,010.50/x
  3. Step 3: Cross multiply
    7,845,258.50x = 18,320,010.50 × 18,320,010.50
  4. Step 4: Simplify right side
    7,845,258.50x = 335,622,784,720,110.25
  5. Step 5: Solve for x
    x = 335,622,784,720,110.25/7,845,258.50
  6. Step 6: Final answer
    x = 42,780,334.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.