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Finding the Third Proportional to 260,566.13 and 389,314.50

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Solution

The third proportional to 260,566.13 and 389,314.50 is: 581,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,566.13 : 389,314.50 = 389,314.50 : x
  2. Step 2: Convert to fraction form
    260,566.13/389,314.50 = 389,314.50/x
  3. Step 3: Cross multiply
    260,566.13x = 389,314.50 × 389,314.50
  4. Step 4: Simplify right side
    260,566.13x = 151,565,779,910.25
  5. Step 5: Solve for x
    x = 151,565,779,910.25/260,566.13
  6. Step 6: Final answer
    x = 581,678.76

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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.