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Finding the Third Proportional to 206,281,539 and 309,422,349

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Solution

The third proportional to 206,281,539 and 309,422,349 is: 464,133,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,281,539 : 309,422,349 = 309,422,349 : x
  2. Step 2: Convert to fraction form
    206,281,539/309,422,349 = 309,422,349/x
  3. Step 3: Cross multiply
    206,281,539x = 309,422,349 × 309,422,349
  4. Step 4: Simplify right side
    206,281,539x = 95,742,190,060,677,808
  5. Step 5: Solve for x
    x = 95,742,190,060,677,808/206,281,539
  6. Step 6: Final answer
    x = 464,133,584.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.