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Finding the Third Proportional to 148,816 and 312,164

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Solution

The third proportional to 148,816 and 312,164 is: 654,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,816 : 312,164 = 312,164 : x
  2. Step 2: Convert to fraction form
    148,816/312,164 = 312,164/x
  3. Step 3: Cross multiply
    148,816x = 312,164 × 312,164
  4. Step 4: Simplify right side
    148,816x = 97,446,362,896
  5. Step 5: Solve for x
    x = 97,446,362,896/148,816
  6. Step 6: Final answer
    x = 654,811.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.