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Finding the Third Proportional to 200,220,732 and 309,857,508

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Solution

The third proportional to 200,220,732 and 309,857,508 is: 479,529,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,220,732 : 309,857,508 = 309,857,508 : x
  2. Step 2: Convert to fraction form
    200,220,732/309,857,508 = 309,857,508/x
  3. Step 3: Cross multiply
    200,220,732x = 309,857,508 × 309,857,508
  4. Step 4: Simplify right side
    200,220,732x = 96,011,675,263,970,064
  5. Step 5: Solve for x
    x = 96,011,675,263,970,064/200,220,732
  6. Step 6: Final answer
    x = 479,529,139.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.