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Finding the Third Proportional to 281,721 and 611,212.50

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Solution

The third proportional to 281,721 and 611,212.50 is: 1,326,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,721 : 611,212.50 = 611,212.50 : x
  2. Step 2: Convert to fraction form
    281,721/611,212.50 = 611,212.50/x
  3. Step 3: Cross multiply
    281,721x = 611,212.50 × 611,212.50
  4. Step 4: Simplify right side
    281,721x = 373,580,720,156.25
  5. Step 5: Solve for x
    x = 373,580,720,156.25/281,721
  6. Step 6: Final answer
    x = 1,326,066.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.