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Finding the Third Proportional to 159,788,632.50 and 343,846,363.50

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Solution

The third proportional to 159,788,632.50 and 343,846,363.50 is: 739,916,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,788,632.50 : 343,846,363.50 = 343,846,363.50 : x
  2. Step 2: Convert to fraction form
    159,788,632.50/343,846,363.50 = 343,846,363.50/x
  3. Step 3: Cross multiply
    159,788,632.50x = 343,846,363.50 × 343,846,363.50
  4. Step 4: Simplify right side
    159,788,632.50x = 118,230,321,692,174,128
  5. Step 5: Solve for x
    x = 118,230,321,692,174,128/159,788,632.50
  6. Step 6: Final answer
    x = 739,916,975.58

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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.