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Finding the Third Proportional to 157,052 and 345,208

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Solution

The third proportional to 157,052 and 345,208 is: 758,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,052 : 345,208 = 345,208 : x
  2. Step 2: Convert to fraction form
    157,052/345,208 = 345,208/x
  3. Step 3: Cross multiply
    157,052x = 345,208 × 345,208
  4. Step 4: Simplify right side
    157,052x = 119,168,563,264
  5. Step 5: Solve for x
    x = 119,168,563,264/157,052
  6. Step 6: Final answer
    x = 758,784.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.