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Finding the Third Proportional to 260,564.63 and 389,313

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Solution

The third proportional to 260,564.63 and 389,313 is: 581,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,564.63 : 389,313 = 389,313 : x
  2. Step 2: Convert to fraction form
    260,564.63/389,313 = 389,313/x
  3. Step 3: Cross multiply
    260,564.63x = 389,313 × 389,313
  4. Step 4: Simplify right side
    260,564.63x = 151,564,611,969
  5. Step 5: Solve for x
    x = 151,564,611,969/260,564.63
  6. Step 6: Final answer
    x = 581,677.62

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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.