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Finding the Third Proportional to 140,311,489 and 306,120,481

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Solution

The third proportional to 140,311,489 and 306,120,481 is: 667,869,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,311,489 : 306,120,481 = 306,120,481 : x
  2. Step 2: Convert to fraction form
    140,311,489/306,120,481 = 306,120,481/x
  3. Step 3: Cross multiply
    140,311,489x = 306,120,481 × 306,120,481
  4. Step 4: Simplify right side
    140,311,489x = 93,709,748,887,671,360
  5. Step 5: Solve for x
    x = 93,709,748,887,671,360/140,311,489
  6. Step 6: Final answer
    x = 667,869,392.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.