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Finding the Third Proportional to 208,048.50 and 448,623

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Solution

The third proportional to 208,048.50 and 448,623 is: 967,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048.50 : 448,623 = 448,623 : x
  2. Step 2: Convert to fraction form
    208,048.50/448,623 = 448,623/x
  3. Step 3: Cross multiply
    208,048.50x = 448,623 × 448,623
  4. Step 4: Simplify right side
    208,048.50x = 201,262,596,129
  5. Step 5: Solve for x
    x = 201,262,596,129/208,048.50
  6. Step 6: Final answer
    x = 967,383.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.