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Finding the Third Proportional to 540,622.50 and 778,749.75

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Solution

The third proportional to 540,622.50 and 778,749.75 is: 1,121,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,622.50 : 778,749.75 = 778,749.75 : x
  2. Step 2: Convert to fraction form
    540,622.50/778,749.75 = 778,749.75/x
  3. Step 3: Cross multiply
    540,622.50x = 778,749.75 × 778,749.75
  4. Step 4: Simplify right side
    540,622.50x = 606,451,173,125.06
  5. Step 5: Solve for x
    x = 606,451,173,125.06/540,622.50
  6. Step 6: Final answer
    x = 1,121,764.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.