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Finding the Third Proportional to 210,279 and 302,260.50

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Solution

The third proportional to 210,279 and 302,260.50 is: 434,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,279 : 302,260.50 = 302,260.50 : x
  2. Step 2: Convert to fraction form
    210,279/302,260.50 = 302,260.50/x
  3. Step 3: Cross multiply
    210,279x = 302,260.50 × 302,260.50
  4. Step 4: Simplify right side
    210,279x = 91,361,409,860.25
  5. Step 5: Solve for x
    x = 91,361,409,860.25/210,279
  6. Step 6: Final answer
    x = 434,477.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.