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Finding the Third Proportional to 31,668,649.50 and 68,196,543

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Solution

The third proportional to 31,668,649.50 and 68,196,543 is: 146,857,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668,649.50 : 68,196,543 = 68,196,543 : x
  2. Step 2: Convert to fraction form
    31,668,649.50/68,196,543 = 68,196,543/x
  3. Step 3: Cross multiply
    31,668,649.50x = 68,196,543 × 68,196,543
  4. Step 4: Simplify right side
    31,668,649.50x = 4,650,768,477,150,849
  5. Step 5: Solve for x
    x = 4,650,768,477,150,849/31,668,649.50
  6. Step 6: Final answer
    x = 146,857,177.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.