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Finding the Third Proportional to 135,389 and 198,465

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Solution

The third proportional to 135,389 and 198,465 is: 290,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,389 : 198,465 = 198,465 : x
  2. Step 2: Convert to fraction form
    135,389/198,465 = 198,465/x
  3. Step 3: Cross multiply
    135,389x = 198,465 × 198,465
  4. Step 4: Simplify right side
    135,389x = 39,388,356,225
  5. Step 5: Solve for x
    x = 39,388,356,225/135,389
  6. Step 6: Final answer
    x = 290,927.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.