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Finding the Third Proportional to 302,134.50 and 408,884.63

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Solution

The third proportional to 302,134.50 and 408,884.63 is: 553,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,134.50 : 408,884.63 = 408,884.63 : x
  2. Step 2: Convert to fraction form
    302,134.50/408,884.63 = 408,884.63/x
  3. Step 3: Cross multiply
    302,134.50x = 408,884.63 × 408,884.63
  4. Step 4: Simplify right side
    302,134.50x = 167,186,636,561.39
  5. Step 5: Solve for x
    x = 167,186,636,561.39/302,134.50
  6. Step 6: Final answer
    x = 553,351.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.