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Finding the Third Proportional to 66,761,862.75 and 140,697,085.50

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Solution

The third proportional to 66,761,862.75 and 140,697,085.50 is: 296,511,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,761,862.75 : 140,697,085.50 = 140,697,085.50 : x
  2. Step 2: Convert to fraction form
    66,761,862.75/140,697,085.50 = 140,697,085.50/x
  3. Step 3: Cross multiply
    66,761,862.75x = 140,697,085.50 × 140,697,085.50
  4. Step 4: Simplify right side
    66,761,862.75x = 19,795,669,868,194,312
  5. Step 5: Solve for x
    x = 19,795,669,868,194,312/66,761,862.75
  6. Step 6: Final answer
    x = 296,511,646.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.