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Finding the Third Proportional to 78,189,566.50 and 106,071,233

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Solution

The third proportional to 78,189,566.50 and 106,071,233 is: 143,895,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189,566.50 : 106,071,233 = 106,071,233 : x
  2. Step 2: Convert to fraction form
    78,189,566.50/106,071,233 = 106,071,233/x
  3. Step 3: Cross multiply
    78,189,566.50x = 106,071,233 × 106,071,233
  4. Step 4: Simplify right side
    78,189,566.50x = 11,251,106,470,140,288
  5. Step 5: Solve for x
    x = 11,251,106,470,140,288/78,189,566.50
  6. Step 6: Final answer
    x = 143,895,240.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.