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Finding the Third Proportional to 203,142 and 470,210

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Solution

The third proportional to 203,142 and 470,210 is: 1,088,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142 : 470,210 = 470,210 : x
  2. Step 2: Convert to fraction form
    203,142/470,210 = 470,210/x
  3. Step 3: Cross multiply
    203,142x = 470,210 × 470,210
  4. Step 4: Simplify right side
    203,142x = 221,097,444,100
  5. Step 5: Solve for x
    x = 221,097,444,100/203,142
  6. Step 6: Final answer
    x = 1,088,388.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.