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Finding the Third Proportional to 137,064 and 218,716

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Solution

The third proportional to 137,064 and 218,716 is: 349,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,064 : 218,716 = 218,716 : x
  2. Step 2: Convert to fraction form
    137,064/218,716 = 218,716/x
  3. Step 3: Cross multiply
    137,064x = 218,716 × 218,716
  4. Step 4: Simplify right side
    137,064x = 47,836,688,656
  5. Step 5: Solve for x
    x = 47,836,688,656/137,064
  6. Step 6: Final answer
    x = 349,009.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.