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Finding the Third Proportional to 286,309,747 and 437,784,788

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Solution

The third proportional to 286,309,747 and 437,784,788 is: 669,399,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,309,747 : 437,784,788 = 437,784,788 : x
  2. Step 2: Convert to fraction form
    286,309,747/437,784,788 = 437,784,788/x
  3. Step 3: Cross multiply
    286,309,747x = 437,784,788 × 437,784,788
  4. Step 4: Simplify right side
    286,309,747x = 191,655,520,604,204,928
  5. Step 5: Solve for x
    x = 191,655,520,604,204,928/286,309,747
  6. Step 6: Final answer
    x = 669,399,217.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.