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Finding the Third Proportional to 403,722 and 876,130

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Solution

The third proportional to 403,722 and 876,130 is: 1,901,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,722 : 876,130 = 876,130 : x
  2. Step 2: Convert to fraction form
    403,722/876,130 = 876,130/x
  3. Step 3: Cross multiply
    403,722x = 876,130 × 876,130
  4. Step 4: Simplify right side
    403,722x = 767,603,776,900
  5. Step 5: Solve for x
    x = 767,603,776,900/403,722
  6. Step 6: Final answer
    x = 1,901,317.68

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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.