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Finding the Third Proportional to 302,557.78 and 411,104.74

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Solution

The third proportional to 302,557.78 and 411,104.74 is: 558,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,557.78 : 411,104.74 = 411,104.74 : x
  2. Step 2: Convert to fraction form
    302,557.78/411,104.74 = 411,104.74/x
  3. Step 3: Cross multiply
    302,557.78x = 411,104.74 × 411,104.74
  4. Step 4: Simplify right side
    302,557.78x = 169,007,109,049.05
  5. Step 5: Solve for x
    x = 169,007,109,049.05/302,557.78
  6. Step 6: Final answer
    x = 558,594.49

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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.