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Finding the Third Proportional to 177,072 and 266,280

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Solution

The third proportional to 177,072 and 266,280 is: 400,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,072 : 266,280 = 266,280 : x
  2. Step 2: Convert to fraction form
    177,072/266,280 = 266,280/x
  3. Step 3: Cross multiply
    177,072x = 266,280 × 266,280
  4. Step 4: Simplify right side
    177,072x = 70,905,038,400
  5. Step 5: Solve for x
    x = 70,905,038,400/177,072
  6. Step 6: Final answer
    x = 400,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.