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Finding the Third Proportional to 258,637 and 388,315

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Solution

The third proportional to 258,637 and 388,315 is: 583,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,637 : 388,315 = 388,315 : x
  2. Step 2: Convert to fraction form
    258,637/388,315 = 388,315/x
  3. Step 3: Cross multiply
    258,637x = 388,315 × 388,315
  4. Step 4: Simplify right side
    258,637x = 150,788,539,225
  5. Step 5: Solve for x
    x = 150,788,539,225/258,637
  6. Step 6: Final answer
    x = 583,012.25

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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.