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Finding the Third Proportional to 139,035 and 299,712

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Solution

The third proportional to 139,035 and 299,712 is: 646,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,035 : 299,712 = 299,712 : x
  2. Step 2: Convert to fraction form
    139,035/299,712 = 299,712/x
  3. Step 3: Cross multiply
    139,035x = 299,712 × 299,712
  4. Step 4: Simplify right side
    139,035x = 89,827,282,944
  5. Step 5: Solve for x
    x = 89,827,282,944/139,035
  6. Step 6: Final answer
    x = 646,076.76

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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.