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Finding the Third Proportional to 553,551.47 and 827,445.38

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Solution

The third proportional to 553,551.47 and 827,445.38 is: 1,236,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,551.47 : 827,445.38 = 827,445.38 : x
  2. Step 2: Convert to fraction form
    553,551.47/827,445.38 = 827,445.38/x
  3. Step 3: Cross multiply
    553,551.47x = 827,445.38 × 827,445.38
  4. Step 4: Simplify right side
    553,551.47x = 684,665,848,608.89
  5. Step 5: Solve for x
    x = 684,665,848,608.89/553,551.47
  6. Step 6: Final answer
    x = 1,236,860.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.