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Finding the Third Proportional to 853,599,928.50 and 1,280,399,814

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Solution

The third proportional to 853,599,928.50 and 1,280,399,814 is: 1,920,599,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,599,928.50 : 1,280,399,814 = 1,280,399,814 : x
  2. Step 2: Convert to fraction form
    853,599,928.50/1,280,399,814 = 1,280,399,814/x
  3. Step 3: Cross multiply
    853,599,928.50x = 1,280,399,814 × 1,280,399,814
  4. Step 4: Simplify right side
    853,599,928.50x = 1,639,423,683,691,234,560
  5. Step 5: Solve for x
    x = 1,639,423,683,691,234,560/853,599,928.50
  6. Step 6: Final answer
    x = 1,920,599,602.88

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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.