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Finding the Third Proportional to 518,574 and 846,777

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Solution

The third proportional to 518,574 and 846,777 is: 1,382,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,574 : 846,777 = 846,777 : x
  2. Step 2: Convert to fraction form
    518,574/846,777 = 846,777/x
  3. Step 3: Cross multiply
    518,574x = 846,777 × 846,777
  4. Step 4: Simplify right side
    518,574x = 717,031,287,729
  5. Step 5: Solve for x
    x = 717,031,287,729/518,574
  6. Step 6: Final answer
    x = 1,382,698.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.