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Finding the Third Proportional to 102,887.72 and 216,983.81

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Solution

The third proportional to 102,887.72 and 216,983.81 is: 457,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,887.72 : 216,983.81 = 216,983.81 : x
  2. Step 2: Convert to fraction form
    102,887.72/216,983.81 = 216,983.81/x
  3. Step 3: Cross multiply
    102,887.72x = 216,983.81 × 216,983.81
  4. Step 4: Simplify right side
    102,887.72x = 47,081,974,887.04
  5. Step 5: Solve for x
    x = 47,081,974,887.04/102,887.72
  6. Step 6: Final answer
    x = 457,605.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.