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Finding the Third Proportional to 218,751 and 342,706

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Solution

The third proportional to 218,751 and 342,706 is: 536,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,751 : 342,706 = 342,706 : x
  2. Step 2: Convert to fraction form
    218,751/342,706 = 342,706/x
  3. Step 3: Cross multiply
    218,751x = 342,706 × 342,706
  4. Step 4: Simplify right side
    218,751x = 117,447,402,436
  5. Step 5: Solve for x
    x = 117,447,402,436/218,751
  6. Step 6: Final answer
    x = 536,899.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.