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Finding the Third Proportional to 198,116 and 432,340

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Solution

The third proportional to 198,116 and 432,340 is: 943,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,116 : 432,340 = 432,340 : x
  2. Step 2: Convert to fraction form
    198,116/432,340 = 432,340/x
  3. Step 3: Cross multiply
    198,116x = 432,340 × 432,340
  4. Step 4: Simplify right side
    198,116x = 186,917,875,600
  5. Step 5: Solve for x
    x = 186,917,875,600/198,116
  6. Step 6: Final answer
    x = 943,476.93

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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.