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Finding the Third Proportional to 158,689,504.69 and 245,109,019.78

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Solution

The third proportional to 158,689,504.69 and 245,109,019.78 is: 378,591,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,689,504.69 : 245,109,019.78 = 245,109,019.78 : x
  2. Step 2: Convert to fraction form
    158,689,504.69/245,109,019.78 = 245,109,019.78/x
  3. Step 3: Cross multiply
    158,689,504.69x = 245,109,019.78 × 245,109,019.78
  4. Step 4: Simplify right side
    158,689,504.69x = 60,078,431,578,125,200
  5. Step 5: Solve for x
    x = 60,078,431,578,125,200/158,689,504.69
  6. Step 6: Final answer
    x = 378,591,083.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.