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Finding the Third Proportional to 214,056 and 332,532

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Solution

The third proportional to 214,056 and 332,532 is: 516,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,056 : 332,532 = 332,532 : x
  2. Step 2: Convert to fraction form
    214,056/332,532 = 332,532/x
  3. Step 3: Cross multiply
    214,056x = 332,532 × 332,532
  4. Step 4: Simplify right side
    214,056x = 110,577,531,024
  5. Step 5: Solve for x
    x = 110,577,531,024/214,056
  6. Step 6: Final answer
    x = 516,582.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.