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Finding the Third Proportional to 209,213 and 457,303

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Solution

The third proportional to 209,213 and 457,303 is: 999,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213 : 457,303 = 457,303 : x
  2. Step 2: Convert to fraction form
    209,213/457,303 = 457,303/x
  3. Step 3: Cross multiply
    209,213x = 457,303 × 457,303
  4. Step 4: Simplify right side
    209,213x = 209,126,033,809
  5. Step 5: Solve for x
    x = 209,126,033,809/209,213
  6. Step 6: Final answer
    x = 999,584.32

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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.