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Finding the Third Proportional to 108,216 and 166,428

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Solution

The third proportional to 108,216 and 166,428 is: 255,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,216 : 166,428 = 166,428 : x
  2. Step 2: Convert to fraction form
    108,216/166,428 = 166,428/x
  3. Step 3: Cross multiply
    108,216x = 166,428 × 166,428
  4. Step 4: Simplify right side
    108,216x = 27,698,279,184
  5. Step 5: Solve for x
    x = 27,698,279,184/108,216
  6. Step 6: Final answer
    x = 255,953.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.