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Finding the Third Proportional to 56,945 and 90,683

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Solution

The third proportional to 56,945 and 90,683 is: 144,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,945 : 90,683 = 90,683 : x
  2. Step 2: Convert to fraction form
    56,945/90,683 = 90,683/x
  3. Step 3: Cross multiply
    56,945x = 90,683 × 90,683
  4. Step 4: Simplify right side
    56,945x = 8,223,406,489
  5. Step 5: Solve for x
    x = 8,223,406,489/56,945
  6. Step 6: Final answer
    x = 144,409.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.