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Finding the Third Proportional to 311,800 and 456,028

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Solution

The third proportional to 311,800 and 456,028 is: 666,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,800 : 456,028 = 456,028 : x
  2. Step 2: Convert to fraction form
    311,800/456,028 = 456,028/x
  3. Step 3: Cross multiply
    311,800x = 456,028 × 456,028
  4. Step 4: Simplify right side
    311,800x = 207,961,536,784
  5. Step 5: Solve for x
    x = 207,961,536,784/311,800
  6. Step 6: Final answer
    x = 666,970.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.