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Finding the Third Proportional to 109,478 and 236,946

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Solution

The third proportional to 109,478 and 236,946 is: 512,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,478 : 236,946 = 236,946 : x
  2. Step 2: Convert to fraction form
    109,478/236,946 = 236,946/x
  3. Step 3: Cross multiply
    109,478x = 236,946 × 236,946
  4. Step 4: Simplify right side
    109,478x = 56,143,406,916
  5. Step 5: Solve for x
    x = 56,143,406,916/109,478
  6. Step 6: Final answer
    x = 512,828.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.