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Finding the Third Proportional to 204,101 and 430,890

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Solution

The third proportional to 204,101 and 430,890 is: 909,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,101 : 430,890 = 430,890 : x
  2. Step 2: Convert to fraction form
    204,101/430,890 = 430,890/x
  3. Step 3: Cross multiply
    204,101x = 430,890 × 430,890
  4. Step 4: Simplify right side
    204,101x = 185,666,192,100
  5. Step 5: Solve for x
    x = 185,666,192,100/204,101
  6. Step 6: Final answer
    x = 909,678.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.