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Finding the Third Proportional to 346,479,865 and 721,620,638

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Solution

The third proportional to 346,479,865 and 721,620,638 is: 1,502,933,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,479,865 : 721,620,638 = 721,620,638 : x
  2. Step 2: Convert to fraction form
    346,479,865/721,620,638 = 721,620,638/x
  3. Step 3: Cross multiply
    346,479,865x = 721,620,638 × 721,620,638
  4. Step 4: Simplify right side
    346,479,865x = 520,736,345,187,527,040
  5. Step 5: Solve for x
    x = 520,736,345,187,527,040/346,479,865
  6. Step 6: Final answer
    x = 1,502,933,930.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.