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Finding the Third Proportional to 403,827,540 and 878,409,511.50

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Solution

The third proportional to 403,827,540 and 878,409,511.50 is: 1,910,724,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827,540 : 878,409,511.50 = 878,409,511.50 : x
  2. Step 2: Convert to fraction form
    403,827,540/878,409,511.50 = 878,409,511.50/x
  3. Step 3: Cross multiply
    403,827,540x = 878,409,511.50 × 878,409,511.50
  4. Step 4: Simplify right side
    403,827,540x = 771,603,269,893,668,608
  5. Step 5: Solve for x
    x = 771,603,269,893,668,608/403,827,540
  6. Step 6: Final answer
    x = 1,910,724,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.