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Finding the Third Proportional to 218,258.75 and 482,403.50

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Solution

The third proportional to 218,258.75 and 482,403.50 is: 1,066,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,258.75 : 482,403.50 = 482,403.50 : x
  2. Step 2: Convert to fraction form
    218,258.75/482,403.50 = 482,403.50/x
  3. Step 3: Cross multiply
    218,258.75x = 482,403.50 × 482,403.50
  4. Step 4: Simplify right side
    218,258.75x = 232,713,136,812.25
  5. Step 5: Solve for x
    x = 232,713,136,812.25/218,258.75
  6. Step 6: Final answer
    x = 1,066,225.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.