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Finding the Third Proportional to 157,258 and 342,164

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Solution

The third proportional to 157,258 and 342,164 is: 744,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,258 : 342,164 = 342,164 : x
  2. Step 2: Convert to fraction form
    157,258/342,164 = 342,164/x
  3. Step 3: Cross multiply
    157,258x = 342,164 × 342,164
  4. Step 4: Simplify right side
    157,258x = 117,076,202,896
  5. Step 5: Solve for x
    x = 117,076,202,896/157,258
  6. Step 6: Final answer
    x = 744,484.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.