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Finding the Third Proportional to 210,149 and 456,021

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Solution

The third proportional to 210,149 and 456,021 is: 989,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,149 : 456,021 = 456,021 : x
  2. Step 2: Convert to fraction form
    210,149/456,021 = 456,021/x
  3. Step 3: Cross multiply
    210,149x = 456,021 × 456,021
  4. Step 4: Simplify right side
    210,149x = 207,955,152,441
  5. Step 5: Solve for x
    x = 207,955,152,441/210,149
  6. Step 6: Final answer
    x = 989,560.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.