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Finding the Third Proportional to 163,815 and 357,936

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Solution

The third proportional to 163,815 and 357,936 is: 782,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,815 : 357,936 = 357,936 : x
  2. Step 2: Convert to fraction form
    163,815/357,936 = 357,936/x
  3. Step 3: Cross multiply
    163,815x = 357,936 × 357,936
  4. Step 4: Simplify right side
    163,815x = 128,118,180,096
  5. Step 5: Solve for x
    x = 128,118,180,096/163,815
  6. Step 6: Final answer
    x = 782,090.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.