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Finding the Third Proportional to 260,712 and 389,912

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Solution

The third proportional to 260,712 and 389,912 is: 583,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,712 : 389,912 = 389,912 : x
  2. Step 2: Convert to fraction form
    260,712/389,912 = 389,912/x
  3. Step 3: Cross multiply
    260,712x = 389,912 × 389,912
  4. Step 4: Simplify right side
    260,712x = 152,031,367,744
  5. Step 5: Solve for x
    x = 152,031,367,744/260,712
  6. Step 6: Final answer
    x = 583,139.13

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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.