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Finding the Third Proportional to 485,640 and 737,208

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Solution

The third proportional to 485,640 and 737,208 is: 1,119,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,640 : 737,208 = 737,208 : x
  2. Step 2: Convert to fraction form
    485,640/737,208 = 737,208/x
  3. Step 3: Cross multiply
    485,640x = 737,208 × 737,208
  4. Step 4: Simplify right side
    485,640x = 543,475,635,264
  5. Step 5: Solve for x
    x = 543,475,635,264/485,640
  6. Step 6: Final answer
    x = 1,119,091.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.