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Finding the Third Proportional to 71,700 and 155,970

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Solution

The third proportional to 71,700 and 155,970 is: 339,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,700 : 155,970 = 155,970 : x
  2. Step 2: Convert to fraction form
    71,700/155,970 = 155,970/x
  3. Step 3: Cross multiply
    71,700x = 155,970 × 155,970
  4. Step 4: Simplify right side
    71,700x = 24,326,640,900
  5. Step 5: Solve for x
    x = 24,326,640,900/71,700
  6. Step 6: Final answer
    x = 339,283.69

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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.