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Finding the Third Proportional to 117,780.38 and 257,990.63

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Solution

The third proportional to 117,780.38 and 257,990.63 is: 565,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,780.38 : 257,990.63 = 257,990.63 : x
  2. Step 2: Convert to fraction form
    117,780.38/257,990.63 = 257,990.63/x
  3. Step 3: Cross multiply
    117,780.38x = 257,990.63 × 257,990.63
  4. Step 4: Simplify right side
    117,780.38x = 66,559,162,587.89
  5. Step 5: Solve for x
    x = 66,559,162,587.89/117,780.38
  6. Step 6: Final answer
    x = 565,112.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.