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Finding the Third Proportional to 66,723,190 and 144,238,253

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Solution

The third proportional to 66,723,190 and 144,238,253 is: 311,805,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,723,190 : 144,238,253 = 144,238,253 : x
  2. Step 2: Convert to fraction form
    66,723,190/144,238,253 = 144,238,253/x
  3. Step 3: Cross multiply
    66,723,190x = 144,238,253 × 144,238,253
  4. Step 4: Simplify right side
    66,723,190x = 20,804,673,628,492,008
  5. Step 5: Solve for x
    x = 20,804,673,628,492,008/66,723,190
  6. Step 6: Final answer
    x = 311,805,739.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.