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Finding the Third Proportional to 737,967 and 1,080,706.50

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Solution

The third proportional to 737,967 and 1,080,706.50 is: 1,582,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,967 : 1,080,706.50 = 1,080,706.50 : x
  2. Step 2: Convert to fraction form
    737,967/1,080,706.50 = 1,080,706.50/x
  3. Step 3: Cross multiply
    737,967x = 1,080,706.50 × 1,080,706.50
  4. Step 4: Simplify right side
    737,967x = 1,167,926,539,142.25
  5. Step 5: Solve for x
    x = 1,167,926,539,142.25/737,967
  6. Step 6: Final answer
    x = 1,582,627.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.