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Finding the Third Proportional to 388,040 and 583,504

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Solution

The third proportional to 388,040 and 583,504 is: 877,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,040 : 583,504 = 583,504 : x
  2. Step 2: Convert to fraction form
    388,040/583,504 = 583,504/x
  3. Step 3: Cross multiply
    388,040x = 583,504 × 583,504
  4. Step 4: Simplify right side
    388,040x = 340,476,918,016
  5. Step 5: Solve for x
    x = 340,476,918,016/388,040
  6. Step 6: Final answer
    x = 877,427.37

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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.