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Finding the Third Proportional to 117,417 and 157,290

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Solution

The third proportional to 117,417 and 157,290 is: 210,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,417 : 157,290 = 157,290 : x
  2. Step 2: Convert to fraction form
    117,417/157,290 = 157,290/x
  3. Step 3: Cross multiply
    117,417x = 157,290 × 157,290
  4. Step 4: Simplify right side
    117,417x = 24,740,144,100
  5. Step 5: Solve for x
    x = 24,740,144,100/117,417
  6. Step 6: Final answer
    x = 210,703.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.