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Finding the Third Proportional to 312,018 and 445,877

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Solution

The third proportional to 312,018 and 445,877 is: 637,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,018 : 445,877 = 445,877 : x
  2. Step 2: Convert to fraction form
    312,018/445,877 = 445,877/x
  3. Step 3: Cross multiply
    312,018x = 445,877 × 445,877
  4. Step 4: Simplify right side
    312,018x = 198,806,299,129
  5. Step 5: Solve for x
    x = 198,806,299,129/312,018
  6. Step 6: Final answer
    x = 637,162.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.