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Finding the Third Proportional to 515,724 and 1,120,191.75

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Solution

The third proportional to 515,724 and 1,120,191.75 is: 2,433,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,724 : 1,120,191.75 = 1,120,191.75 : x
  2. Step 2: Convert to fraction form
    515,724/1,120,191.75 = 1,120,191.75/x
  3. Step 3: Cross multiply
    515,724x = 1,120,191.75 × 1,120,191.75
  4. Step 4: Simplify right side
    515,724x = 1,254,829,556,768.06
  5. Step 5: Solve for x
    x = 1,254,829,556,768.06/515,724
  6. Step 6: Final answer
    x = 2,433,141.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.