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Finding the Third Proportional to 258,657 and 388,341

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Solution

The third proportional to 258,657 and 388,341 is: 583,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,657 : 388,341 = 388,341 : x
  2. Step 2: Convert to fraction form
    258,657/388,341 = 388,341/x
  3. Step 3: Cross multiply
    258,657x = 388,341 × 388,341
  4. Step 4: Simplify right side
    258,657x = 150,808,732,281
  5. Step 5: Solve for x
    x = 150,808,732,281/258,657
  6. Step 6: Final answer
    x = 583,045.24

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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.