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Finding the Third Proportional to 91,113.19 and 212,812.31

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Solution

The third proportional to 91,113.19 and 212,812.31 is: 497,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,113.19 : 212,812.31 = 212,812.31 : x
  2. Step 2: Convert to fraction form
    91,113.19/212,812.31 = 212,812.31/x
  3. Step 3: Cross multiply
    91,113.19x = 212,812.31 × 212,812.31
  4. Step 4: Simplify right side
    91,113.19x = 45,289,080,351.60
  5. Step 5: Solve for x
    x = 45,289,080,351.60/91,113.19
  6. Step 6: Final answer
    x = 497,063.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.