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Finding the Third Proportional to 118,560 and 210,804

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Solution

The third proportional to 118,560 and 210,804 is: 374,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,560 : 210,804 = 210,804 : x
  2. Step 2: Convert to fraction form
    118,560/210,804 = 210,804/x
  3. Step 3: Cross multiply
    118,560x = 210,804 × 210,804
  4. Step 4: Simplify right side
    118,560x = 44,438,326,416
  5. Step 5: Solve for x
    x = 44,438,326,416/118,560
  6. Step 6: Final answer
    x = 374,817.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.