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Finding the Third Proportional to 56,943 and 90,679.50

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Solution

The third proportional to 56,943 and 90,679.50 is: 144,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,943 : 90,679.50 = 90,679.50 : x
  2. Step 2: Convert to fraction form
    56,943/90,679.50 = 90,679.50/x
  3. Step 3: Cross multiply
    56,943x = 90,679.50 × 90,679.50
  4. Step 4: Simplify right side
    56,943x = 8,222,771,720.25
  5. Step 5: Solve for x
    x = 8,222,771,720.25/56,943
  6. Step 6: Final answer
    x = 144,403.56

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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.