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Finding the Third Proportional to 216,513 and 318,208.50

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Solution

The third proportional to 216,513 and 318,208.50 is: 467,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,513 : 318,208.50 = 318,208.50 : x
  2. Step 2: Convert to fraction form
    216,513/318,208.50 = 318,208.50/x
  3. Step 3: Cross multiply
    216,513x = 318,208.50 × 318,208.50
  4. Step 4: Simplify right side
    216,513x = 101,256,649,472.25
  5. Step 5: Solve for x
    x = 101,256,649,472.25/216,513
  6. Step 6: Final answer
    x = 467,670.07

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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.