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Finding the Third Proportional to 145,021.64 and 312,258.80

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Solution

The third proportional to 145,021.64 and 312,258.80 is: 672,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,021.64 : 312,258.80 = 312,258.80 : x
  2. Step 2: Convert to fraction form
    145,021.64/312,258.80 = 312,258.80/x
  3. Step 3: Cross multiply
    145,021.64x = 312,258.80 × 312,258.80
  4. Step 4: Simplify right side
    145,021.64x = 97,505,556,225.82
  5. Step 5: Solve for x
    x = 97,505,556,225.82/145,021.64
  6. Step 6: Final answer
    x = 672,351.77

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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.