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Finding the Third Proportional to 738,128 and 1,205,286

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Solution

The third proportional to 738,128 and 1,205,286 is: 1,968,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,128 : 1,205,286 = 1,205,286 : x
  2. Step 2: Convert to fraction form
    738,128/1,205,286 = 1,205,286/x
  3. Step 3: Cross multiply
    738,128x = 1,205,286 × 1,205,286
  4. Step 4: Simplify right side
    738,128x = 1,452,714,341,796
  5. Step 5: Solve for x
    x = 1,452,714,341,796/738,128
  6. Step 6: Final answer
    x = 1,968,106.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.