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Finding the Third Proportional to 143,088 and 282,574

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Solution

The third proportional to 143,088 and 282,574 is: 558,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,088 : 282,574 = 282,574 : x
  2. Step 2: Convert to fraction form
    143,088/282,574 = 282,574/x
  3. Step 3: Cross multiply
    143,088x = 282,574 × 282,574
  4. Step 4: Simplify right side
    143,088x = 79,848,065,476
  5. Step 5: Solve for x
    x = 79,848,065,476/143,088
  6. Step 6: Final answer
    x = 558,034.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.