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Finding the Third Proportional to 98,633,544 and 157,082,796

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Solution

The third proportional to 98,633,544 and 157,082,796 is: 250,168,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,633,544 : 157,082,796 = 157,082,796 : x
  2. Step 2: Convert to fraction form
    98,633,544/157,082,796 = 157,082,796/x
  3. Step 3: Cross multiply
    98,633,544x = 157,082,796 × 157,082,796
  4. Step 4: Simplify right side
    98,633,544x = 24,675,004,799,177,616
  5. Step 5: Solve for x
    x = 24,675,004,799,177,616/98,633,544
  6. Step 6: Final answer
    x = 250,168,490.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.