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Finding the Third Proportional to 137,246 and 291,989

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Solution

The third proportional to 137,246 and 291,989 is: 621,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,246 : 291,989 = 291,989 : x
  2. Step 2: Convert to fraction form
    137,246/291,989 = 291,989/x
  3. Step 3: Cross multiply
    137,246x = 291,989 × 291,989
  4. Step 4: Simplify right side
    137,246x = 85,257,576,121
  5. Step 5: Solve for x
    x = 85,257,576,121/137,246
  6. Step 6: Final answer
    x = 621,202.63

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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.