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Finding the Third Proportional to 216,577 and 324,865.50

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Solution

The third proportional to 216,577 and 324,865.50 is: 487,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,577 : 324,865.50 = 324,865.50 : x
  2. Step 2: Convert to fraction form
    216,577/324,865.50 = 324,865.50/x
  3. Step 3: Cross multiply
    216,577x = 324,865.50 × 324,865.50
  4. Step 4: Simplify right side
    216,577x = 105,537,593,090.25
  5. Step 5: Solve for x
    x = 105,537,593,090.25/216,577
  6. Step 6: Final answer
    x = 487,298.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.