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Finding the Third Proportional to 251,106.75 and 391,888.13

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Solution

The third proportional to 251,106.75 and 391,888.13 is: 611,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,106.75 : 391,888.13 = 391,888.13 : x
  2. Step 2: Convert to fraction form
    251,106.75/391,888.13 = 391,888.13/x
  3. Step 3: Cross multiply
    251,106.75x = 391,888.13 × 391,888.13
  4. Step 4: Simplify right side
    251,106.75x = 153,576,302,516.02
  5. Step 5: Solve for x
    x = 153,576,302,516.02/251,106.75
  6. Step 6: Final answer
    x = 611,597.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.