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Finding the Third Proportional to 281,026.50 and 428,542.50

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Solution

The third proportional to 281,026.50 and 428,542.50 is: 653,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,026.50 : 428,542.50 = 428,542.50 : x
  2. Step 2: Convert to fraction form
    281,026.50/428,542.50 = 428,542.50/x
  3. Step 3: Cross multiply
    281,026.50x = 428,542.50 × 428,542.50
  4. Step 4: Simplify right side
    281,026.50x = 183,648,674,306.25
  5. Step 5: Solve for x
    x = 183,648,674,306.25/281,026.50
  6. Step 6: Final answer
    x = 653,492.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.