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Finding the Third Proportional to 553,822.31 and 829,809.56

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Solution

The third proportional to 553,822.31 and 829,809.56 is: 1,243,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,822.31 : 829,809.56 = 829,809.56 : x
  2. Step 2: Convert to fraction form
    553,822.31/829,809.56 = 829,809.56/x
  3. Step 3: Cross multiply
    553,822.31x = 829,809.56 × 829,809.56
  4. Step 4: Simplify right side
    553,822.31x = 688,583,910,016.44
  5. Step 5: Solve for x
    x = 688,583,910,016.44/553,822.31
  6. Step 6: Final answer
    x = 1,243,330.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.