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Finding the Third Proportional to 216,027 and 510,421.50

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Solution

The third proportional to 216,027 and 510,421.50 is: 1,206,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,027 : 510,421.50 = 510,421.50 : x
  2. Step 2: Convert to fraction form
    216,027/510,421.50 = 510,421.50/x
  3. Step 3: Cross multiply
    216,027x = 510,421.50 × 510,421.50
  4. Step 4: Simplify right side
    216,027x = 260,530,107,662.25
  5. Step 5: Solve for x
    x = 260,530,107,662.25/216,027
  6. Step 6: Final answer
    x = 1,206,007.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.