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Finding the Third Proportional to 1,353,644,940 and 1,826,384,850

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Solution

The third proportional to 1,353,644,940 and 1,826,384,850 is: 2,464,221,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,644,940 : 1,826,384,850 = 1,826,384,850 : x
  2. Step 2: Convert to fraction form
    1,353,644,940/1,826,384,850 = 1,826,384,850/x
  3. Step 3: Cross multiply
    1,353,644,940x = 1,826,384,850 × 1,826,384,850
  4. Step 4: Simplify right side
    1,353,644,940x = 3,335,681,620,309,522,432
  5. Step 5: Solve for x
    x = 3,335,681,620,309,522,432/1,353,644,940
  6. Step 6: Final answer
    x = 2,464,221,984.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.