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Finding the Third Proportional to 336,640 and 737,666

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Solution

The third proportional to 336,640 and 737,666 is: 1,616,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,640 : 737,666 = 737,666 : x
  2. Step 2: Convert to fraction form
    336,640/737,666 = 737,666/x
  3. Step 3: Cross multiply
    336,640x = 737,666 × 737,666
  4. Step 4: Simplify right side
    336,640x = 544,151,127,556
  5. Step 5: Solve for x
    x = 544,151,127,556/336,640
  6. Step 6: Final answer
    x = 1,616,418.51

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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.