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Finding the Third Proportional to 216,176 and 307,946

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Solution

The third proportional to 216,176 and 307,946 is: 438,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,176 : 307,946 = 307,946 : x
  2. Step 2: Convert to fraction form
    216,176/307,946 = 307,946/x
  3. Step 3: Cross multiply
    216,176x = 307,946 × 307,946
  4. Step 4: Simplify right side
    216,176x = 94,830,738,916
  5. Step 5: Solve for x
    x = 94,830,738,916/216,176
  6. Step 6: Final answer
    x = 438,673.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.