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Finding the Third Proportional to 133,261 and 287,859

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Solution

The third proportional to 133,261 and 287,859 is: 621,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,261 : 287,859 = 287,859 : x
  2. Step 2: Convert to fraction form
    133,261/287,859 = 287,859/x
  3. Step 3: Cross multiply
    133,261x = 287,859 × 287,859
  4. Step 4: Simplify right side
    133,261x = 82,862,803,881
  5. Step 5: Solve for x
    x = 82,862,803,881/133,261
  6. Step 6: Final answer
    x = 621,808.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.