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Finding the Third Proportional to 210,335 and 459,220

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Solution

The third proportional to 210,335 and 459,220 is: 1,002,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,335 : 459,220 = 459,220 : x
  2. Step 2: Convert to fraction form
    210,335/459,220 = 459,220/x
  3. Step 3: Cross multiply
    210,335x = 459,220 × 459,220
  4. Step 4: Simplify right side
    210,335x = 210,883,008,400
  5. Step 5: Solve for x
    x = 210,883,008,400/210,335
  6. Step 6: Final answer
    x = 1,002,605.41

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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.