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Finding the Third Proportional to 106,748 and 232,288

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Solution

The third proportional to 106,748 and 232,288 is: 505,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,748 : 232,288 = 232,288 : x
  2. Step 2: Convert to fraction form
    106,748/232,288 = 232,288/x
  3. Step 3: Cross multiply
    106,748x = 232,288 × 232,288
  4. Step 4: Simplify right side
    106,748x = 53,957,714,944
  5. Step 5: Solve for x
    x = 53,957,714,944/106,748
  6. Step 6: Final answer
    x = 505,468.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.