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Finding the Third Proportional to 152,202 and 330,643.50

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Solution

The third proportional to 152,202 and 330,643.50 is: 718,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,202 : 330,643.50 = 330,643.50 : x
  2. Step 2: Convert to fraction form
    152,202/330,643.50 = 330,643.50/x
  3. Step 3: Cross multiply
    152,202x = 330,643.50 × 330,643.50
  4. Step 4: Simplify right side
    152,202x = 109,325,124,092.25
  5. Step 5: Solve for x
    x = 109,325,124,092.25/152,202
  6. Step 6: Final answer
    x = 718,289.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.