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Finding the Third Proportional to 145,257,755 and 311,238,406

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Solution

The third proportional to 145,257,755 and 311,238,406 is: 666,878,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,257,755 : 311,238,406 = 311,238,406 : x
  2. Step 2: Convert to fraction form
    145,257,755/311,238,406 = 311,238,406/x
  3. Step 3: Cross multiply
    145,257,755x = 311,238,406 × 311,238,406
  4. Step 4: Simplify right side
    145,257,755x = 96,869,345,369,420,832
  5. Step 5: Solve for x
    x = 96,869,345,369,420,832/145,257,755
  6. Step 6: Final answer
    x = 666,878,992.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.