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Finding the Third Proportional to 338,970 and 738,488

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Solution

The third proportional to 338,970 and 738,488 is: 1,608,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,970 : 738,488 = 738,488 : x
  2. Step 2: Convert to fraction form
    338,970/738,488 = 738,488/x
  3. Step 3: Cross multiply
    338,970x = 738,488 × 738,488
  4. Step 4: Simplify right side
    338,970x = 545,364,526,144
  5. Step 5: Solve for x
    x = 545,364,526,144/338,970
  6. Step 6: Final answer
    x = 1,608,887.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.