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Finding the Third Proportional to 138,044 and 298,656

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Solution

The third proportional to 138,044 and 298,656 is: 646,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,044 : 298,656 = 298,656 : x
  2. Step 2: Convert to fraction form
    138,044/298,656 = 298,656/x
  3. Step 3: Cross multiply
    138,044x = 298,656 × 298,656
  4. Step 4: Simplify right side
    138,044x = 89,195,406,336
  5. Step 5: Solve for x
    x = 89,195,406,336/138,044
  6. Step 6: Final answer
    x = 646,137.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.