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Finding the Third Proportional to 338,658 and 740,284

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Solution

The third proportional to 338,658 and 740,284 is: 1,618,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,658 : 740,284 = 740,284 : x
  2. Step 2: Convert to fraction form
    338,658/740,284 = 740,284/x
  3. Step 3: Cross multiply
    338,658x = 740,284 × 740,284
  4. Step 4: Simplify right side
    338,658x = 548,020,400,656
  5. Step 5: Solve for x
    x = 548,020,400,656/338,658
  6. Step 6: Final answer
    x = 1,618,211.89

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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.