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Finding the Third Proportional to 197,017.50 and 312,021

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Solution

The third proportional to 197,017.50 and 312,021 is: 494,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,017.50 : 312,021 = 312,021 : x
  2. Step 2: Convert to fraction form
    197,017.50/312,021 = 312,021/x
  3. Step 3: Cross multiply
    197,017.50x = 312,021 × 312,021
  4. Step 4: Simplify right side
    197,017.50x = 97,357,104,441
  5. Step 5: Solve for x
    x = 97,357,104,441/197,017.50
  6. Step 6: Final answer
    x = 494,154.60

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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.