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Finding the Third Proportional to 157,072 and 335,312

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Solution

The third proportional to 157,072 and 335,312 is: 715,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,072 : 335,312 = 335,312 : x
  2. Step 2: Convert to fraction form
    157,072/335,312 = 335,312/x
  3. Step 3: Cross multiply
    157,072x = 335,312 × 335,312
  4. Step 4: Simplify right side
    157,072x = 112,434,137,344
  5. Step 5: Solve for x
    x = 112,434,137,344/157,072
  6. Step 6: Final answer
    x = 715,812.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.