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Finding the Third Proportional to 65,837,728 and 144,707,168

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Solution

The third proportional to 65,837,728 and 144,707,168 is: 318,057,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,837,728 : 144,707,168 = 144,707,168 : x
  2. Step 2: Convert to fraction form
    65,837,728/144,707,168 = 144,707,168/x
  3. Step 3: Cross multiply
    65,837,728x = 144,707,168 × 144,707,168
  4. Step 4: Simplify right side
    65,837,728x = 20,940,164,470,580,224
  5. Step 5: Solve for x
    x = 20,940,164,470,580,224/65,837,728
  6. Step 6: Final answer
    x = 318,057,215.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.