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Finding the Third Proportional to 210,168 and 328,369.50

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Solution

The third proportional to 210,168 and 328,369.50 is: 513,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,168 : 328,369.50 = 328,369.50 : x
  2. Step 2: Convert to fraction form
    210,168/328,369.50 = 328,369.50/x
  3. Step 3: Cross multiply
    210,168x = 328,369.50 × 328,369.50
  4. Step 4: Simplify right side
    210,168x = 107,826,528,530.25
  5. Step 5: Solve for x
    x = 107,826,528,530.25/210,168
  6. Step 6: Final answer
    x = 513,049.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.