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Finding the Third Proportional to 259,706.25 and 388,526.63

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Solution

The third proportional to 259,706.25 and 388,526.63 is: 581,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,706.25 : 388,526.63 = 388,526.63 : x
  2. Step 2: Convert to fraction form
    259,706.25/388,526.63 = 388,526.63/x
  3. Step 3: Cross multiply
    259,706.25x = 388,526.63 × 388,526.63
  4. Step 4: Simplify right side
    259,706.25x = 150,952,938,333.89
  5. Step 5: Solve for x
    x = 150,952,938,333.89/259,706.25
  6. Step 6: Final answer
    x = 581,244.92

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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.