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Finding the Third Proportional to 144,366 and 314,937

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Solution

The third proportional to 144,366 and 314,937 is: 687,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,366 : 314,937 = 314,937 : x
  2. Step 2: Convert to fraction form
    144,366/314,937 = 314,937/x
  3. Step 3: Cross multiply
    144,366x = 314,937 × 314,937
  4. Step 4: Simplify right side
    144,366x = 99,185,313,969
  5. Step 5: Solve for x
    x = 99,185,313,969/144,366
  6. Step 6: Final answer
    x = 687,040.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.