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Finding the Third Proportional to 509,389,489 and 807,894,219

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Solution

The third proportional to 509,389,489 and 807,894,219 is: 1,281,324,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,389,489 : 807,894,219 = 807,894,219 : x
  2. Step 2: Convert to fraction form
    509,389,489/807,894,219 = 807,894,219/x
  3. Step 3: Cross multiply
    509,389,489x = 807,894,219 × 807,894,219
  4. Step 4: Simplify right side
    509,389,489x = 652,693,069,093,619,968
  5. Step 5: Solve for x
    x = 652,693,069,093,619,968/509,389,489
  6. Step 6: Final answer
    x = 1,281,324,179.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.