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Finding the Third Proportional to 853,599,931 and 1,280,399,817

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Solution

The third proportional to 853,599,931 and 1,280,399,817 is: 1,920,599,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,599,931 : 1,280,399,817 = 1,280,399,817 : x
  2. Step 2: Convert to fraction form
    853,599,931/1,280,399,817 = 1,280,399,817/x
  3. Step 3: Cross multiply
    853,599,931x = 1,280,399,817 × 1,280,399,817
  4. Step 4: Simplify right side
    853,599,931x = 1,639,423,691,373,633,536
  5. Step 5: Solve for x
    x = 1,639,423,691,373,633,536/853,599,931
  6. Step 6: Final answer
    x = 1,920,599,606.25

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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.