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Finding the Third Proportional to 531,529.50 and 820,796.25

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Solution

The third proportional to 531,529.50 and 820,796.25 is: 1,267,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,529.50 : 820,796.25 = 820,796.25 : x
  2. Step 2: Convert to fraction form
    531,529.50/820,796.25 = 820,796.25/x
  3. Step 3: Cross multiply
    531,529.50x = 820,796.25 × 820,796.25
  4. Step 4: Simplify right side
    531,529.50x = 673,706,484,014.06
  5. Step 5: Solve for x
    x = 673,706,484,014.06/531,529.50
  6. Step 6: Final answer
    x = 1,267,486.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.