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Finding the Third Proportional to 540,617 and 778,741

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Solution

The third proportional to 540,617 and 778,741 is: 1,121,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,617 : 778,741 = 778,741 : x
  2. Step 2: Convert to fraction form
    540,617/778,741 = 778,741/x
  3. Step 3: Cross multiply
    540,617x = 778,741 × 778,741
  4. Step 4: Simplify right side
    540,617x = 606,437,545,081
  5. Step 5: Solve for x
    x = 606,437,545,081/540,617
  6. Step 6: Final answer
    x = 1,121,750.79

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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.