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Finding the Third Proportional to 176,688 and 273,888

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Solution

The third proportional to 176,688 and 273,888 is: 424,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,688 : 273,888 = 273,888 : x
  2. Step 2: Convert to fraction form
    176,688/273,888 = 273,888/x
  3. Step 3: Cross multiply
    176,688x = 273,888 × 273,888
  4. Step 4: Simplify right side
    176,688x = 75,014,636,544
  5. Step 5: Solve for x
    x = 75,014,636,544/176,688
  6. Step 6: Final answer
    x = 424,559.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.