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Finding the Third Proportional to 117,780 and 261,681.75

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Solution

The third proportional to 117,780 and 261,681.75 is: 581,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,780 : 261,681.75 = 261,681.75 : x
  2. Step 2: Convert to fraction form
    117,780/261,681.75 = 261,681.75/x
  3. Step 3: Cross multiply
    117,780x = 261,681.75 × 261,681.75
  4. Step 4: Simplify right side
    117,780x = 68,477,338,283.06
  5. Step 5: Solve for x
    x = 68,477,338,283.06/117,780
  6. Step 6: Final answer
    x = 581,400.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.