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Finding the Third Proportional to 145,333 and 312,928

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Solution

The third proportional to 145,333 and 312,928 is: 673,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,333 : 312,928 = 312,928 : x
  2. Step 2: Convert to fraction form
    145,333/312,928 = 312,928/x
  3. Step 3: Cross multiply
    145,333x = 312,928 × 312,928
  4. Step 4: Simplify right side
    145,333x = 97,923,933,184
  5. Step 5: Solve for x
    x = 97,923,933,184/145,333
  6. Step 6: Final answer
    x = 673,790.08

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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.