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Finding the Third Proportional to 199,566 and 315,947

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Solution

The third proportional to 199,566 and 315,947 is: 500,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,566 : 315,947 = 315,947 : x
  2. Step 2: Convert to fraction form
    199,566/315,947 = 315,947/x
  3. Step 3: Cross multiply
    199,566x = 315,947 × 315,947
  4. Step 4: Simplify right side
    199,566x = 99,822,506,809
  5. Step 5: Solve for x
    x = 99,822,506,809/199,566
  6. Step 6: Final answer
    x = 500,197.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.