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Finding the Third Proportional to 302,785 and 448,313

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Solution

The third proportional to 302,785 and 448,313 is: 663,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,785 : 448,313 = 448,313 : x
  2. Step 2: Convert to fraction form
    302,785/448,313 = 448,313/x
  3. Step 3: Cross multiply
    302,785x = 448,313 × 448,313
  4. Step 4: Simplify right side
    302,785x = 200,984,545,969
  5. Step 5: Solve for x
    x = 200,984,545,969/302,785
  6. Step 6: Final answer
    x = 663,786.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.