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Finding the Third Proportional to 135,525 and 198,428

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Solution

The third proportional to 135,525 and 198,428 is: 290,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,525 : 198,428 = 198,428 : x
  2. Step 2: Convert to fraction form
    135,525/198,428 = 198,428/x
  3. Step 3: Cross multiply
    135,525x = 198,428 × 198,428
  4. Step 4: Simplify right side
    135,525x = 39,373,671,184
  5. Step 5: Solve for x
    x = 39,373,671,184/135,525
  6. Step 6: Final answer
    x = 290,527.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.