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Finding the Third Proportional to 163,152 and 345,888

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Solution

The third proportional to 163,152 and 345,888 is: 733,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,152 : 345,888 = 345,888 : x
  2. Step 2: Convert to fraction form
    163,152/345,888 = 345,888/x
  3. Step 3: Cross multiply
    163,152x = 345,888 × 345,888
  4. Step 4: Simplify right side
    163,152x = 119,638,508,544
  5. Step 5: Solve for x
    x = 119,638,508,544/163,152
  6. Step 6: Final answer
    x = 733,294.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.