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Finding the Third Proportional to 233,076 and 352,767

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Solution

The third proportional to 233,076 and 352,767 is: 533,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,076 : 352,767 = 352,767 : x
  2. Step 2: Convert to fraction form
    233,076/352,767 = 352,767/x
  3. Step 3: Cross multiply
    233,076x = 352,767 × 352,767
  4. Step 4: Simplify right side
    233,076x = 124,444,556,289
  5. Step 5: Solve for x
    x = 124,444,556,289/233,076
  6. Step 6: Final answer
    x = 533,922.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.