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Finding the Third Proportional to 211,076 and 334,220

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Solution

The third proportional to 211,076 and 334,220 is: 529,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,076 : 334,220 = 334,220 : x
  2. Step 2: Convert to fraction form
    211,076/334,220 = 334,220/x
  3. Step 3: Cross multiply
    211,076x = 334,220 × 334,220
  4. Step 4: Simplify right side
    211,076x = 111,703,008,400
  5. Step 5: Solve for x
    x = 111,703,008,400/211,076
  6. Step 6: Final answer
    x = 529,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.