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Finding the Third Proportional to 109,468 and 236,440

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Solution

The third proportional to 109,468 and 236,440 is: 510,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,468 : 236,440 = 236,440 : x
  2. Step 2: Convert to fraction form
    109,468/236,440 = 236,440/x
  3. Step 3: Cross multiply
    109,468x = 236,440 × 236,440
  4. Step 4: Simplify right side
    109,468x = 55,903,873,600
  5. Step 5: Solve for x
    x = 55,903,873,600/109,468
  6. Step 6: Final answer
    x = 510,686.90

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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.