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Finding the Third Proportional to 389,918,900 and 856,369,192

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Solution

The third proportional to 389,918,900 and 856,369,192 is: 1,880,822,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,918,900 : 856,369,192 = 856,369,192 : x
  2. Step 2: Convert to fraction form
    389,918,900/856,369,192 = 856,369,192/x
  3. Step 3: Cross multiply
    389,918,900x = 856,369,192 × 856,369,192
  4. Step 4: Simplify right side
    389,918,900x = 733,368,193,006,732,800
  5. Step 5: Solve for x
    x = 733,368,193,006,732,800/389,918,900
  6. Step 6: Final answer
    x = 1,880,822,378.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.