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Finding the Third Proportional to 137,417 and 218,594

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Solution

The third proportional to 137,417 and 218,594 is: 347,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,417 : 218,594 = 218,594 : x
  2. Step 2: Convert to fraction form
    137,417/218,594 = 218,594/x
  3. Step 3: Cross multiply
    137,417x = 218,594 × 218,594
  4. Step 4: Simplify right side
    137,417x = 47,783,336,836
  5. Step 5: Solve for x
    x = 47,783,336,836/137,417
  6. Step 6: Final answer
    x = 347,725.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.