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Finding the Third Proportional to 523,785,372 and 728,281,686

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Solution

The third proportional to 523,785,372 and 728,281,686 is: 1,012,617,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,785,372 : 728,281,686 = 728,281,686 : x
  2. Step 2: Convert to fraction form
    523,785,372/728,281,686 = 728,281,686/x
  3. Step 3: Cross multiply
    523,785,372x = 728,281,686 × 728,281,686
  4. Step 4: Simplify right side
    523,785,372x = 530,394,214,163,002,624
  5. Step 5: Solve for x
    x = 530,394,214,163,002,624/523,785,372
  6. Step 6: Final answer
    x = 1,012,617,462.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.