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Finding the Third Proportional to 202,172.63 and 313,110.56

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Solution

The third proportional to 202,172.63 and 313,110.56 is: 484,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,172.63 : 313,110.56 = 313,110.56 : x
  2. Step 2: Convert to fraction form
    202,172.63/313,110.56 = 313,110.56/x
  3. Step 3: Cross multiply
    202,172.63x = 313,110.56 × 313,110.56
  4. Step 4: Simplify right side
    202,172.63x = 98,038,224,349.07
  5. Step 5: Solve for x
    x = 98,038,224,349.07/202,172.63
  6. Step 6: Final answer
    x = 484,923.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.