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Finding the Third Proportional to 137,409 and 218,574

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Solution

The third proportional to 137,409 and 218,574 is: 347,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409 : 218,574 = 218,574 : x
  2. Step 2: Convert to fraction form
    137,409/218,574 = 218,574/x
  3. Step 3: Cross multiply
    137,409x = 218,574 × 218,574
  4. Step 4: Simplify right side
    137,409x = 47,774,593,476
  5. Step 5: Solve for x
    x = 47,774,593,476/137,409
  6. Step 6: Final answer
    x = 347,681.69

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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.