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Finding the Third Proportional to 216,666 and 345,987

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Solution

The third proportional to 216,666 and 345,987 is: 552,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,666 : 345,987 = 345,987 : x
  2. Step 2: Convert to fraction form
    216,666/345,987 = 345,987/x
  3. Step 3: Cross multiply
    216,666x = 345,987 × 345,987
  4. Step 4: Simplify right side
    216,666x = 119,707,004,169
  5. Step 5: Solve for x
    x = 119,707,004,169/216,666
  6. Step 6: Final answer
    x = 552,495.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.