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Finding the Third Proportional to 302,011.03 and 408,729.80

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Solution

The third proportional to 302,011.03 and 408,729.80 is: 553,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,011.03 : 408,729.80 = 408,729.80 : x
  2. Step 2: Convert to fraction form
    302,011.03/408,729.80 = 408,729.80/x
  3. Step 3: Cross multiply
    302,011.03x = 408,729.80 × 408,729.80
  4. Step 4: Simplify right side
    302,011.03x = 167,060,046,853.48
  5. Step 5: Solve for x
    x = 167,060,046,853.48/302,011.03
  6. Step 6: Final answer
    x = 553,158.76

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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.