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Finding the Third Proportional to 660,032 and 991,503

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Solution

The third proportional to 660,032 and 991,503 is: 1,489,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,032 : 991,503 = 991,503 : x
  2. Step 2: Convert to fraction form
    660,032/991,503 = 991,503/x
  3. Step 3: Cross multiply
    660,032x = 991,503 × 991,503
  4. Step 4: Simplify right side
    660,032x = 983,078,199,009
  5. Step 5: Solve for x
    x = 983,078,199,009/660,032
  6. Step 6: Final answer
    x = 1,489,440.21

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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.