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Finding the Third Proportional to 133,590 and 205,428

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Solution

The third proportional to 133,590 and 205,428 is: 315,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,590 : 205,428 = 205,428 : x
  2. Step 2: Convert to fraction form
    133,590/205,428 = 205,428/x
  3. Step 3: Cross multiply
    133,590x = 205,428 × 205,428
  4. Step 4: Simplify right side
    133,590x = 42,200,663,184
  5. Step 5: Solve for x
    x = 42,200,663,184/133,590
  6. Step 6: Final answer
    x = 315,896.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.