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Finding the Third Proportional to 109,809 and 236,547

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Solution

The third proportional to 109,809 and 236,547 is: 509,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,809 : 236,547 = 236,547 : x
  2. Step 2: Convert to fraction form
    109,809/236,547 = 236,547/x
  3. Step 3: Cross multiply
    109,809x = 236,547 × 236,547
  4. Step 4: Simplify right side
    109,809x = 55,954,483,209
  5. Step 5: Solve for x
    x = 55,954,483,209/109,809
  6. Step 6: Final answer
    x = 509,561.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.