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Finding the Third Proportional to 661,584.38 and 989,732.25

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Solution

The third proportional to 661,584.38 and 989,732.25 is: 1,480,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,584.38 : 989,732.25 = 989,732.25 : x
  2. Step 2: Convert to fraction form
    661,584.38/989,732.25 = 989,732.25/x
  3. Step 3: Cross multiply
    661,584.38x = 989,732.25 × 989,732.25
  4. Step 4: Simplify right side
    661,584.38x = 979,569,926,690.06
  5. Step 5: Solve for x
    x = 979,569,926,690.06/661,584.38
  6. Step 6: Final answer
    x = 1,480,642.48

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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.