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Finding the Third Proportional to 65,228,328 and 139,793,890.50

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Solution

The third proportional to 65,228,328 and 139,793,890.50 is: 299,598,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228,328 : 139,793,890.50 = 139,793,890.50 : x
  2. Step 2: Convert to fraction form
    65,228,328/139,793,890.50 = 139,793,890.50/x
  3. Step 3: Cross multiply
    65,228,328x = 139,793,890.50 × 139,793,890.50
  4. Step 4: Simplify right side
    65,228,328x = 19,542,331,821,125,992
  5. Step 5: Solve for x
    x = 19,542,331,821,125,992/65,228,328
  6. Step 6: Final answer
    x = 299,598,846.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.