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Finding the Third Proportional to 535,369.50 and 734,092.88

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Solution

The third proportional to 535,369.50 and 734,092.88 is: 1,006,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,369.50 : 734,092.88 = 734,092.88 : x
  2. Step 2: Convert to fraction form
    535,369.50/734,092.88 = 734,092.88/x
  3. Step 3: Cross multiply
    535,369.50x = 734,092.88 × 734,092.88
  4. Step 4: Simplify right side
    535,369.50x = 538,892,349,125.77
  5. Step 5: Solve for x
    x = 538,892,349,125.77/535,369.50
  6. Step 6: Final answer
    x = 1,006,580.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.