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Finding the Third Proportional to 145,571.63 and 308,639.25

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Solution

The third proportional to 145,571.63 and 308,639.25 is: 654,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,571.63 : 308,639.25 = 308,639.25 : x
  2. Step 2: Convert to fraction form
    145,571.63/308,639.25 = 308,639.25/x
  3. Step 3: Cross multiply
    145,571.63x = 308,639.25 × 308,639.25
  4. Step 4: Simplify right side
    145,571.63x = 95,258,186,640.56
  5. Step 5: Solve for x
    x = 95,258,186,640.56/145,571.63
  6. Step 6: Final answer
    x = 654,373.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.