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Finding the Third Proportional to 143,887 and 293,485

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Solution

The third proportional to 143,887 and 293,485 is: 598,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,887 : 293,485 = 293,485 : x
  2. Step 2: Convert to fraction form
    143,887/293,485 = 293,485/x
  3. Step 3: Cross multiply
    143,887x = 293,485 × 293,485
  4. Step 4: Simplify right side
    143,887x = 86,133,445,225
  5. Step 5: Solve for x
    x = 86,133,445,225/143,887
  6. Step 6: Final answer
    x = 598,618.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.