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Finding the Third Proportional to 139,371 and 296,721

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Solution

The third proportional to 139,371 and 296,721 is: 631,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,371 : 296,721 = 296,721 : x
  2. Step 2: Convert to fraction form
    139,371/296,721 = 296,721/x
  3. Step 3: Cross multiply
    139,371x = 296,721 × 296,721
  4. Step 4: Simplify right side
    139,371x = 88,043,351,841
  5. Step 5: Solve for x
    x = 88,043,351,841/139,371
  6. Step 6: Final answer
    x = 631,719.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.