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Finding the Third Proportional to 312,008 and 445,862

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Solution

The third proportional to 312,008 and 445,862 is: 637,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,008 : 445,862 = 445,862 : x
  2. Step 2: Convert to fraction form
    312,008/445,862 = 445,862/x
  3. Step 3: Cross multiply
    312,008x = 445,862 × 445,862
  4. Step 4: Simplify right side
    312,008x = 198,792,923,044
  5. Step 5: Solve for x
    x = 198,792,923,044/312,008
  6. Step 6: Final answer
    x = 637,140.47

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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.