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Finding the Third Proportional to 117,564 and 256,998

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Solution

The third proportional to 117,564 and 256,998 is: 561,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564 : 256,998 = 256,998 : x
  2. Step 2: Convert to fraction form
    117,564/256,998 = 256,998/x
  3. Step 3: Cross multiply
    117,564x = 256,998 × 256,998
  4. Step 4: Simplify right side
    117,564x = 66,047,972,004
  5. Step 5: Solve for x
    x = 66,047,972,004/117,564
  6. Step 6: Final answer
    x = 561,804.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.