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Finding the Third Proportional to 146,720 and 312,818

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Solution

The third proportional to 146,720 and 312,818 is: 666,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,720 : 312,818 = 312,818 : x
  2. Step 2: Convert to fraction form
    146,720/312,818 = 312,818/x
  3. Step 3: Cross multiply
    146,720x = 312,818 × 312,818
  4. Step 4: Simplify right side
    146,720x = 97,855,101,124
  5. Step 5: Solve for x
    x = 97,855,101,124/146,720
  6. Step 6: Final answer
    x = 666,951.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.