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Finding the Third Proportional to 77,890,389 and 123,337,450.50

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Solution

The third proportional to 77,890,389 and 123,337,450.50 is: 195,301,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,890,389 : 123,337,450.50 = 123,337,450.50 : x
  2. Step 2: Convert to fraction form
    77,890,389/123,337,450.50 = 123,337,450.50/x
  3. Step 3: Cross multiply
    77,890,389x = 123,337,450.50 × 123,337,450.50
  4. Step 4: Simplify right side
    77,890,389x = 15,212,126,695,839,950
  5. Step 5: Solve for x
    x = 15,212,126,695,839,950/77,890,389
  6. Step 6: Final answer
    x = 195,301,716.82

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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.