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Finding the Third Proportional to 205,875 and 433,887

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Solution

The third proportional to 205,875 and 433,887 is: 914,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,875 : 433,887 = 433,887 : x
  2. Step 2: Convert to fraction form
    205,875/433,887 = 433,887/x
  3. Step 3: Cross multiply
    205,875x = 433,887 × 433,887
  4. Step 4: Simplify right side
    205,875x = 188,257,928,769
  5. Step 5: Solve for x
    x = 188,257,928,769/205,875
  6. Step 6: Final answer
    x = 914,428.31

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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.