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Finding the Third Proportional to 72,009 and 177,066

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Solution

The third proportional to 72,009 and 177,066 is: 435,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,009 : 177,066 = 177,066 : x
  2. Step 2: Convert to fraction form
    72,009/177,066 = 177,066/x
  3. Step 3: Cross multiply
    72,009x = 177,066 × 177,066
  4. Step 4: Simplify right side
    72,009x = 31,352,368,356
  5. Step 5: Solve for x
    x = 31,352,368,356/72,009
  6. Step 6: Final answer
    x = 435,395.14

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.