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Finding the Third Proportional to 482,415.75 and 691,729.88

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Solution

The third proportional to 482,415.75 and 691,729.88 is: 991,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,415.75 : 691,729.88 = 691,729.88 : x
  2. Step 2: Convert to fraction form
    482,415.75/691,729.88 = 691,729.88/x
  3. Step 3: Cross multiply
    482,415.75x = 691,729.88 × 691,729.88
  4. Step 4: Simplify right side
    482,415.75x = 478,490,219,967.52
  5. Step 5: Solve for x
    x = 478,490,219,967.52/482,415.75
  6. Step 6: Final answer
    x = 991,862.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.