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Finding the Third Proportional to 556,540.24 and 831,521.32

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Solution

The third proportional to 556,540.24 and 831,521.32 is: 1,242,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,540.24 : 831,521.32 = 831,521.32 : x
  2. Step 2: Convert to fraction form
    556,540.24/831,521.32 = 831,521.32/x
  3. Step 3: Cross multiply
    556,540.24x = 831,521.32 × 831,521.32
  4. Step 4: Simplify right side
    556,540.24x = 691,427,706,134.24
  5. Step 5: Solve for x
    x = 691,427,706,134.24/556,540.24
  6. Step 6: Final answer
    x = 1,242,367.85

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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.