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Finding the Third Proportional to 131,018 and 307,983

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Solution

The third proportional to 131,018 and 307,983 is: 723,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,018 : 307,983 = 307,983 : x
  2. Step 2: Convert to fraction form
    131,018/307,983 = 307,983/x
  3. Step 3: Cross multiply
    131,018x = 307,983 × 307,983
  4. Step 4: Simplify right side
    131,018x = 94,853,528,289
  5. Step 5: Solve for x
    x = 94,853,528,289/131,018
  6. Step 6: Final answer
    x = 723,973.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.