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Finding the Third Proportional to 117,557 and 171,412

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Solution

The third proportional to 117,557 and 171,412 is: 249,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,557 : 171,412 = 171,412 : x
  2. Step 2: Convert to fraction form
    117,557/171,412 = 171,412/x
  3. Step 3: Cross multiply
    117,557x = 171,412 × 171,412
  4. Step 4: Simplify right side
    117,557x = 29,382,073,744
  5. Step 5: Solve for x
    x = 29,382,073,744/117,557
  6. Step 6: Final answer
    x = 249,938.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.