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Finding the Third Proportional to 153,869 and 347,246

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Solution

The third proportional to 153,869 and 347,246 is: 783,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,869 : 347,246 = 347,246 : x
  2. Step 2: Convert to fraction form
    153,869/347,246 = 347,246/x
  3. Step 3: Cross multiply
    153,869x = 347,246 × 347,246
  4. Step 4: Simplify right side
    153,869x = 120,579,784,516
  5. Step 5: Solve for x
    x = 120,579,784,516/153,869
  6. Step 6: Final answer
    x = 783,652.23

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.