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Finding the Third Proportional to 398,964 and 865,748

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Solution

The third proportional to 398,964 and 865,748 is: 1,878,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,964 : 865,748 = 865,748 : x
  2. Step 2: Convert to fraction form
    398,964/865,748 = 865,748/x
  3. Step 3: Cross multiply
    398,964x = 865,748 × 865,748
  4. Step 4: Simplify right side
    398,964x = 749,519,599,504
  5. Step 5: Solve for x
    x = 749,519,599,504/398,964
  6. Step 6: Final answer
    x = 1,878,664.74

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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.