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Finding the Third Proportional to 302,631.75 and 664,038

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Solution

The third proportional to 302,631.75 and 664,038 is: 1,457,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,631.75 : 664,038 = 664,038 : x
  2. Step 2: Convert to fraction form
    302,631.75/664,038 = 664,038/x
  3. Step 3: Cross multiply
    302,631.75x = 664,038 × 664,038
  4. Step 4: Simplify right side
    302,631.75x = 440,946,465,444
  5. Step 5: Solve for x
    x = 440,946,465,444/302,631.75
  6. Step 6: Final answer
    x = 1,457,039.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.