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Finding the Third Proportional to 518,342 and 846,411

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Solution

The third proportional to 518,342 and 846,411 is: 1,382,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,342 : 846,411 = 846,411 : x
  2. Step 2: Convert to fraction form
    518,342/846,411 = 846,411/x
  3. Step 3: Cross multiply
    518,342x = 846,411 × 846,411
  4. Step 4: Simplify right side
    518,342x = 716,411,580,921
  5. Step 5: Solve for x
    x = 716,411,580,921/518,342
  6. Step 6: Final answer
    x = 1,382,121.42

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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.