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Finding the Third Proportional to 260,567 and 389,316

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Solution

The third proportional to 260,567 and 389,316 is: 581,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,567 : 389,316 = 389,316 : x
  2. Step 2: Convert to fraction form
    260,567/389,316 = 389,316/x
  3. Step 3: Cross multiply
    260,567x = 389,316 × 389,316
  4. Step 4: Simplify right side
    260,567x = 151,566,947,856
  5. Step 5: Solve for x
    x = 151,566,947,856/260,567
  6. Step 6: Final answer
    x = 581,681.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.