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Finding the Third Proportional to 145,373.06 and 308,358.56

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Solution

The third proportional to 145,373.06 and 308,358.56 is: 654,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,373.06 : 308,358.56 = 308,358.56 : x
  2. Step 2: Convert to fraction form
    145,373.06/308,358.56 = 308,358.56/x
  3. Step 3: Cross multiply
    145,373.06x = 308,358.56 × 308,358.56
  4. Step 4: Simplify right side
    145,373.06x = 95,085,003,067.07
  5. Step 5: Solve for x
    x = 95,085,003,067.07/145,373.06
  6. Step 6: Final answer
    x = 654,075.81

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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.