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Finding the Third Proportional to 398,958 and 865,735

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Solution

The third proportional to 398,958 and 865,735 is: 1,878,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,958 : 865,735 = 865,735 : x
  2. Step 2: Convert to fraction form
    398,958/865,735 = 865,735/x
  3. Step 3: Cross multiply
    398,958x = 865,735 × 865,735
  4. Step 4: Simplify right side
    398,958x = 749,497,090,225
  5. Step 5: Solve for x
    x = 749,497,090,225/398,958
  6. Step 6: Final answer
    x = 1,878,636.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.