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Finding the Third Proportional to 209,052 and 458,136

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Solution

The third proportional to 209,052 and 458,136 is: 1,004,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,052 : 458,136 = 458,136 : x
  2. Step 2: Convert to fraction form
    209,052/458,136 = 458,136/x
  3. Step 3: Cross multiply
    209,052x = 458,136 × 458,136
  4. Step 4: Simplify right side
    209,052x = 209,888,594,496
  5. Step 5: Solve for x
    x = 209,888,594,496/209,052
  6. Step 6: Final answer
    x = 1,004,001.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.