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Finding the Third Proportional to 302,578 and 411,135

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Solution

The third proportional to 302,578 and 411,135 is: 558,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,578 : 411,135 = 411,135 : x
  2. Step 2: Convert to fraction form
    302,578/411,135 = 411,135/x
  3. Step 3: Cross multiply
    302,578x = 411,135 × 411,135
  4. Step 4: Simplify right side
    302,578x = 169,031,988,225
  5. Step 5: Solve for x
    x = 169,031,988,225/302,578
  6. Step 6: Final answer
    x = 558,639.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.