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Finding the Third Proportional to 660,121 and 991,641

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Solution

The third proportional to 660,121 and 991,641 is: 1,489,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,121 : 991,641 = 991,641 : x
  2. Step 2: Convert to fraction form
    660,121/991,641 = 991,641/x
  3. Step 3: Cross multiply
    660,121x = 991,641 × 991,641
  4. Step 4: Simplify right side
    660,121x = 983,351,872,881
  5. Step 5: Solve for x
    x = 983,351,872,881/660,121
  6. Step 6: Final answer
    x = 1,489,653.98

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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.