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Finding the Third Proportional to 212,972.63 and 459,145.13

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Solution

The third proportional to 212,972.63 and 459,145.13 is: 989,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,972.63 : 459,145.13 = 459,145.13 : x
  2. Step 2: Convert to fraction form
    212,972.63/459,145.13 = 459,145.13/x
  3. Step 3: Cross multiply
    212,972.63x = 459,145.13 × 459,145.13
  4. Step 4: Simplify right side
    212,972.63x = 210,814,245,811.27
  5. Step 5: Solve for x
    x = 210,814,245,811.27/212,972.63
  6. Step 6: Final answer
    x = 989,865.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.