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Finding the Third Proportional to 145,353 and 312,965

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Solution

The third proportional to 145,353 and 312,965 is: 673,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,353 : 312,965 = 312,965 : x
  2. Step 2: Convert to fraction form
    145,353/312,965 = 312,965/x
  3. Step 3: Cross multiply
    145,353x = 312,965 × 312,965
  4. Step 4: Simplify right side
    145,353x = 97,947,091,225
  5. Step 5: Solve for x
    x = 97,947,091,225/145,353
  6. Step 6: Final answer
    x = 673,856.69

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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.