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Finding the Third Proportional to 144,734 and 311,617

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Solution

The third proportional to 144,734 and 311,617 is: 670,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,734 : 311,617 = 311,617 : x
  2. Step 2: Convert to fraction form
    144,734/311,617 = 311,617/x
  3. Step 3: Cross multiply
    144,734x = 311,617 × 311,617
  4. Step 4: Simplify right side
    144,734x = 97,105,154,689
  5. Step 5: Solve for x
    x = 97,105,154,689/144,734
  6. Step 6: Final answer
    x = 670,921.52

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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.