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Finding the Third Proportional to 78,376,099.50 and 123,575,166

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Solution

The third proportional to 78,376,099.50 and 123,575,166 is: 194,840,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376,099.50 : 123,575,166 = 123,575,166 : x
  2. Step 2: Convert to fraction form
    78,376,099.50/123,575,166 = 123,575,166/x
  3. Step 3: Cross multiply
    78,376,099.50x = 123,575,166 × 123,575,166
  4. Step 4: Simplify right side
    78,376,099.50x = 15,270,821,651,927,556
  5. Step 5: Solve for x
    x = 15,270,821,651,927,556/78,376,099.50
  6. Step 6: Final answer
    x = 194,840,286.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.