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Finding the Third Proportional to 199,713 and 434,688

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Solution

The third proportional to 199,713 and 434,688 is: 946,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,713 : 434,688 = 434,688 : x
  2. Step 2: Convert to fraction form
    199,713/434,688 = 434,688/x
  3. Step 3: Cross multiply
    199,713x = 434,688 × 434,688
  4. Step 4: Simplify right side
    199,713x = 188,953,657,344
  5. Step 5: Solve for x
    x = 188,953,657,344/199,713
  6. Step 6: Final answer
    x = 946,125.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.