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Finding the Third Proportional to 144,729 and 311,607

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Solution

The third proportional to 144,729 and 311,607 is: 670,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,729 : 311,607 = 311,607 : x
  2. Step 2: Convert to fraction form
    144,729/311,607 = 311,607/x
  3. Step 3: Cross multiply
    144,729x = 311,607 × 311,607
  4. Step 4: Simplify right side
    144,729x = 97,098,922,449
  5. Step 5: Solve for x
    x = 97,098,922,449/144,729
  6. Step 6: Final answer
    x = 670,901.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.