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Finding the Third Proportional to 140,314 and 307,791

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Solution

The third proportional to 140,314 and 307,791 is: 675,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,314 : 307,791 = 307,791 : x
  2. Step 2: Convert to fraction form
    140,314/307,791 = 307,791/x
  3. Step 3: Cross multiply
    140,314x = 307,791 × 307,791
  4. Step 4: Simplify right side
    140,314x = 94,735,299,681
  5. Step 5: Solve for x
    x = 94,735,299,681/140,314
  6. Step 6: Final answer
    x = 675,166.41

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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.