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Finding the Third Proportional to 117,780.75 and 258,889.50

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Solution

The third proportional to 117,780.75 and 258,889.50 is: 569,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,780.75 : 258,889.50 = 258,889.50 : x
  2. Step 2: Convert to fraction form
    117,780.75/258,889.50 = 258,889.50/x
  3. Step 3: Cross multiply
    117,780.75x = 258,889.50 × 258,889.50
  4. Step 4: Simplify right side
    117,780.75x = 67,023,773,210.25
  5. Step 5: Solve for x
    x = 67,023,773,210.25/117,780.75
  6. Step 6: Final answer
    x = 569,055.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.