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Finding the Third Proportional to 302,020 and 408,741

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Solution

The third proportional to 302,020 and 408,741 is: 553,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,020 : 408,741 = 408,741 : x
  2. Step 2: Convert to fraction form
    302,020/408,741 = 408,741/x
  3. Step 3: Cross multiply
    302,020x = 408,741 × 408,741
  4. Step 4: Simplify right side
    302,020x = 167,069,205,081
  5. Step 5: Solve for x
    x = 167,069,205,081/302,020
  6. Step 6: Final answer
    x = 553,172.65

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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.