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Finding the Third Proportional to 163,728 and 357,888

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Solution

The third proportional to 163,728 and 357,888 is: 782,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,728 : 357,888 = 357,888 : x
  2. Step 2: Convert to fraction form
    163,728/357,888 = 357,888/x
  3. Step 3: Cross multiply
    163,728x = 357,888 × 357,888
  4. Step 4: Simplify right side
    163,728x = 128,083,820,544
  5. Step 5: Solve for x
    x = 128,083,820,544/163,728
  6. Step 6: Final answer
    x = 782,296.37

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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.