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Finding the Third Proportional to 114,532 and 232,142

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Solution

The third proportional to 114,532 and 232,142 is: 470,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,532 : 232,142 = 232,142 : x
  2. Step 2: Convert to fraction form
    114,532/232,142 = 232,142/x
  3. Step 3: Cross multiply
    114,532x = 232,142 × 232,142
  4. Step 4: Simplify right side
    114,532x = 53,889,908,164
  5. Step 5: Solve for x
    x = 53,889,908,164/114,532
  6. Step 6: Final answer
    x = 470,522.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.