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Finding the Third Proportional to 302,214 and 408,943

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Solution

The third proportional to 302,214 and 408,943 is: 553,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,214 : 408,943 = 408,943 : x
  2. Step 2: Convert to fraction form
    302,214/408,943 = 408,943/x
  3. Step 3: Cross multiply
    302,214x = 408,943 × 408,943
  4. Step 4: Simplify right side
    302,214x = 167,234,377,249
  5. Step 5: Solve for x
    x = 167,234,377,249/302,214
  6. Step 6: Final answer
    x = 553,364.10

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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.