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Finding the Third Proportional to 540,621 and 778,747

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Solution

The third proportional to 540,621 and 778,747 is: 1,121,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,621 : 778,747 = 778,747 : x
  2. Step 2: Convert to fraction form
    540,621/778,747 = 778,747/x
  3. Step 3: Cross multiply
    540,621x = 778,747 × 778,747
  4. Step 4: Simplify right side
    540,621x = 606,446,890,009
  5. Step 5: Solve for x
    x = 606,446,890,009/540,621
  6. Step 6: Final answer
    x = 1,121,759.77

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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.