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Finding the Third Proportional to 66,986,010 and 144,236,166

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Solution

The third proportional to 66,986,010 and 144,236,166 is: 310,573,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,986,010 : 144,236,166 = 144,236,166 : x
  2. Step 2: Convert to fraction form
    66,986,010/144,236,166 = 144,236,166/x
  3. Step 3: Cross multiply
    66,986,010x = 144,236,166 × 144,236,166
  4. Step 4: Simplify right side
    66,986,010x = 20,804,071,582,379,556
  5. Step 5: Solve for x
    x = 20,804,071,582,379,556/66,986,010
  6. Step 6: Final answer
    x = 310,573,380.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.