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Finding the Third Proportional to 389,918,898 and 856,369,188

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Solution

The third proportional to 389,918,898 and 856,369,188 is: 1,880,822,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,918,898 : 856,369,188 = 856,369,188 : x
  2. Step 2: Convert to fraction form
    389,918,898/856,369,188 = 856,369,188/x
  3. Step 3: Cross multiply
    389,918,898x = 856,369,188 × 856,369,188
  4. Step 4: Simplify right side
    389,918,898x = 733,368,186,155,779,328
  5. Step 5: Solve for x
    x = 733,368,186,155,779,328/389,918,898
  6. Step 6: Final answer
    x = 1,880,822,370.80

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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.