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Finding the Third Proportional to 218,038.50 and 470,448

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Solution

The third proportional to 218,038.50 and 470,448 is: 1,015,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,038.50 : 470,448 = 470,448 : x
  2. Step 2: Convert to fraction form
    218,038.50/470,448 = 470,448/x
  3. Step 3: Cross multiply
    218,038.50x = 470,448 × 470,448
  4. Step 4: Simplify right side
    218,038.50x = 221,321,320,704
  5. Step 5: Solve for x
    x = 221,321,320,704/218,038.50
  6. Step 6: Final answer
    x = 1,015,056.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.