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Finding the Third Proportional to 210,051 and 322,861.50

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Solution

The third proportional to 210,051 and 322,861.50 is: 496,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,051 : 322,861.50 = 322,861.50 : x
  2. Step 2: Convert to fraction form
    210,051/322,861.50 = 322,861.50/x
  3. Step 3: Cross multiply
    210,051x = 322,861.50 × 322,861.50
  4. Step 4: Simplify right side
    210,051x = 104,239,548,182.25
  5. Step 5: Solve for x
    x = 104,239,548,182.25/210,051
  6. Step 6: Final answer
    x = 496,258.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.