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Finding the Third Proportional to 216,756.75 and 345,201

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Solution

The third proportional to 216,756.75 and 345,201 is: 549,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,756.75 : 345,201 = 345,201 : x
  2. Step 2: Convert to fraction form
    216,756.75/345,201 = 345,201/x
  3. Step 3: Cross multiply
    216,756.75x = 345,201 × 345,201
  4. Step 4: Simplify right side
    216,756.75x = 119,163,730,401
  5. Step 5: Solve for x
    x = 119,163,730,401/216,756.75
  6. Step 6: Final answer
    x = 549,757.88

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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.