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Finding the Third Proportional to 157,356 and 345,816

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Solution

The third proportional to 157,356 and 345,816 is: 759,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,356 : 345,816 = 345,816 : x
  2. Step 2: Convert to fraction form
    157,356/345,816 = 345,816/x
  3. Step 3: Cross multiply
    157,356x = 345,816 × 345,816
  4. Step 4: Simplify right side
    157,356x = 119,588,705,856
  5. Step 5: Solve for x
    x = 119,588,705,856/157,356
  6. Step 6: Final answer
    x = 759,988.22

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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.