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Finding the Third Proportional to 309,169,874 and 666,763,492

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Solution

The third proportional to 309,169,874 and 666,763,492 is: 1,437,958,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,169,874 : 666,763,492 = 666,763,492 : x
  2. Step 2: Convert to fraction form
    309,169,874/666,763,492 = 666,763,492/x
  3. Step 3: Cross multiply
    309,169,874x = 666,763,492 × 666,763,492
  4. Step 4: Simplify right side
    309,169,874x = 444,573,554,264,034,048
  5. Step 5: Solve for x
    x = 444,573,554,264,034,048/309,169,874
  6. Step 6: Final answer
    x = 1,437,958,842.86

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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.