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Finding the Third Proportional to 302,048 and 645,536

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Solution

The third proportional to 302,048 and 645,536 is: 1,379,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048 : 645,536 = 645,536 : x
  2. Step 2: Convert to fraction form
    302,048/645,536 = 645,536/x
  3. Step 3: Cross multiply
    302,048x = 645,536 × 645,536
  4. Step 4: Simplify right side
    302,048x = 416,716,727,296
  5. Step 5: Solve for x
    x = 416,716,727,296/302,048
  6. Step 6: Final answer
    x = 1,379,637.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.