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Finding the Third Proportional to 216,526.50 and 318,228.75

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Solution

The third proportional to 216,526.50 and 318,228.75 is: 467,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,526.50 : 318,228.75 = 318,228.75 : x
  2. Step 2: Convert to fraction form
    216,526.50/318,228.75 = 318,228.75/x
  3. Step 3: Cross multiply
    216,526.50x = 318,228.75 × 318,228.75
  4. Step 4: Simplify right side
    216,526.50x = 101,269,537,326.56
  5. Step 5: Solve for x
    x = 101,269,537,326.56/216,526.50
  6. Step 6: Final answer
    x = 467,700.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.