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Finding the Third Proportional to 302,020.50 and 408,742.50

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Solution

The third proportional to 302,020.50 and 408,742.50 is: 553,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,020.50 : 408,742.50 = 408,742.50 : x
  2. Step 2: Convert to fraction form
    302,020.50/408,742.50 = 408,742.50/x
  3. Step 3: Cross multiply
    302,020.50x = 408,742.50 × 408,742.50
  4. Step 4: Simplify right side
    302,020.50x = 167,070,431,306.25
  5. Step 5: Solve for x
    x = 167,070,431,306.25/302,020.50
  6. Step 6: Final answer
    x = 553,175.80

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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.