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Finding the Third Proportional to 403,728 and 876,142

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Solution

The third proportional to 403,728 and 876,142 is: 1,901,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,728 : 876,142 = 876,142 : x
  2. Step 2: Convert to fraction form
    403,728/876,142 = 876,142/x
  3. Step 3: Cross multiply
    403,728x = 876,142 × 876,142
  4. Step 4: Simplify right side
    403,728x = 767,624,804,164
  5. Step 5: Solve for x
    x = 767,624,804,164/403,728
  6. Step 6: Final answer
    x = 1,901,341.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.