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Finding the Third Proportional to 259,889 and 388,773

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Solution

The third proportional to 259,889 and 388,773 is: 581,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,889 : 388,773 = 388,773 : x
  2. Step 2: Convert to fraction form
    259,889/388,773 = 388,773/x
  3. Step 3: Cross multiply
    259,889x = 388,773 × 388,773
  4. Step 4: Simplify right side
    259,889x = 151,144,445,529
  5. Step 5: Solve for x
    x = 151,144,445,529/259,889
  6. Step 6: Final answer
    x = 581,573.08

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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.