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Finding the Third Proportional to 70,085 and 157,716

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Solution

The third proportional to 70,085 and 157,716 is: 354,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,085 : 157,716 = 157,716 : x
  2. Step 2: Convert to fraction form
    70,085/157,716 = 157,716/x
  3. Step 3: Cross multiply
    70,085x = 157,716 × 157,716
  4. Step 4: Simplify right side
    70,085x = 24,874,336,656
  5. Step 5: Solve for x
    x = 24,874,336,656/70,085
  6. Step 6: Final answer
    x = 354,916.70

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.