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Finding the Third Proportional to 210,276 and 459,400

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Solution

The third proportional to 210,276 and 459,400 is: 1,003,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,276 : 459,400 = 459,400 : x
  2. Step 2: Convert to fraction form
    210,276/459,400 = 459,400/x
  3. Step 3: Cross multiply
    210,276x = 459,400 × 459,400
  4. Step 4: Simplify right side
    210,276x = 211,048,360,000
  5. Step 5: Solve for x
    x = 211,048,360,000/210,276
  6. Step 6: Final answer
    x = 1,003,673.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.