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Finding the Third Proportional to 213,480 and 459,947

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Solution

The third proportional to 213,480 and 459,947 is: 990,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,480 : 459,947 = 459,947 : x
  2. Step 2: Convert to fraction form
    213,480/459,947 = 459,947/x
  3. Step 3: Cross multiply
    213,480x = 459,947 × 459,947
  4. Step 4: Simplify right side
    213,480x = 211,551,242,809
  5. Step 5: Solve for x
    x = 211,551,242,809/213,480
  6. Step 6: Final answer
    x = 990,965.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.