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Finding the Third Proportional to 108,076 and 232,798

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Solution

The third proportional to 108,076 and 232,798 is: 501,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,076 : 232,798 = 232,798 : x
  2. Step 2: Convert to fraction form
    108,076/232,798 = 232,798/x
  3. Step 3: Cross multiply
    108,076x = 232,798 × 232,798
  4. Step 4: Simplify right side
    108,076x = 54,194,908,804
  5. Step 5: Solve for x
    x = 54,194,908,804/108,076
  6. Step 6: Final answer
    x = 501,451.84

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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.