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Finding the Third Proportional to 312,776 and 445,644

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Solution

The third proportional to 312,776 and 445,644 is: 634,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776 : 445,644 = 445,644 : x
  2. Step 2: Convert to fraction form
    312,776/445,644 = 445,644/x
  3. Step 3: Cross multiply
    312,776x = 445,644 × 445,644
  4. Step 4: Simplify right side
    312,776x = 198,598,574,736
  5. Step 5: Solve for x
    x = 198,598,574,736/312,776
  6. Step 6: Final answer
    x = 634,954.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.