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Finding the Third Proportional to 200,857,980 and 435,234,566

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Solution

The third proportional to 200,857,980 and 435,234,566 is: 943,099,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857,980 : 435,234,566 = 435,234,566 : x
  2. Step 2: Convert to fraction form
    200,857,980/435,234,566 = 435,234,566/x
  3. Step 3: Cross multiply
    200,857,980x = 435,234,566 × 435,234,566
  4. Step 4: Simplify right side
    200,857,980x = 189,429,127,441,208,352
  5. Step 5: Solve for x
    x = 189,429,127,441,208,352/200,857,980
  6. Step 6: Final answer
    x = 943,099,833.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.