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Finding the Third Proportional to 281,026.13 and 428,577.75

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Solution

The third proportional to 281,026.13 and 428,577.75 is: 653,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,026.13 : 428,577.75 = 428,577.75 : x
  2. Step 2: Convert to fraction form
    281,026.13/428,577.75 = 428,577.75/x
  3. Step 3: Cross multiply
    281,026.13x = 428,577.75 × 428,577.75
  4. Step 4: Simplify right side
    281,026.13x = 183,678,887,795.06
  5. Step 5: Solve for x
    x = 183,678,887,795.06/281,026.13
  6. Step 6: Final answer
    x = 653,600.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.