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Finding the Third Proportional to 260,890.88 and 380,264.63

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Solution

The third proportional to 260,890.88 and 380,264.63 is: 554,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,890.88 : 380,264.63 = 380,264.63 : x
  2. Step 2: Convert to fraction form
    260,890.88/380,264.63 = 380,264.63/x
  3. Step 3: Cross multiply
    260,890.88x = 380,264.63 × 380,264.63
  4. Step 4: Simplify right side
    260,890.88x = 144,601,185,026.39
  5. Step 5: Solve for x
    x = 144,601,185,026.39/260,890.88
  6. Step 6: Final answer
    x = 554,259.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.