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Finding the Third Proportional to 140,346 and 307,881

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Solution

The third proportional to 140,346 and 307,881 is: 675,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,346 : 307,881 = 307,881 : x
  2. Step 2: Convert to fraction form
    140,346/307,881 = 307,881/x
  3. Step 3: Cross multiply
    140,346x = 307,881 × 307,881
  4. Step 4: Simplify right side
    140,346x = 94,790,710,161
  5. Step 5: Solve for x
    x = 94,790,710,161/140,346
  6. Step 6: Final answer
    x = 675,407.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.