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Finding the Third Proportional to 258,656 and 388,338

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Solution

The third proportional to 258,656 and 388,338 is: 583,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,656 : 388,338 = 388,338 : x
  2. Step 2: Convert to fraction form
    258,656/388,338 = 388,338/x
  3. Step 3: Cross multiply
    258,656x = 388,338 × 388,338
  4. Step 4: Simplify right side
    258,656x = 150,806,402,244
  5. Step 5: Solve for x
    x = 150,806,402,244/258,656
  6. Step 6: Final answer
    x = 583,038.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.