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Finding the Third Proportional to 198,047 and 432,220

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Solution

The third proportional to 198,047 and 432,220 is: 943,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,047 : 432,220 = 432,220 : x
  2. Step 2: Convert to fraction form
    198,047/432,220 = 432,220/x
  3. Step 3: Cross multiply
    198,047x = 432,220 × 432,220
  4. Step 4: Simplify right side
    198,047x = 186,814,128,400
  5. Step 5: Solve for x
    x = 186,814,128,400/198,047
  6. Step 6: Final answer
    x = 943,281.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.