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Finding the Third Proportional to 518,444 and 846,570

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Solution

The third proportional to 518,444 and 846,570 is: 1,382,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,444 : 846,570 = 846,570 : x
  2. Step 2: Convert to fraction form
    518,444/846,570 = 846,570/x
  3. Step 3: Cross multiply
    518,444x = 846,570 × 846,570
  4. Step 4: Simplify right side
    518,444x = 716,680,764,900
  5. Step 5: Solve for x
    x = 716,680,764,900/518,444
  6. Step 6: Final answer
    x = 1,382,368.71

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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.