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Finding the Third Proportional to 101,110,935.50 and 217,841,280.50

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Solution

The third proportional to 101,110,935.50 and 217,841,280.50 is: 469,334,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,110,935.50 : 217,841,280.50 = 217,841,280.50 : x
  2. Step 2: Convert to fraction form
    101,110,935.50/217,841,280.50 = 217,841,280.50/x
  3. Step 3: Cross multiply
    101,110,935.50x = 217,841,280.50 × 217,841,280.50
  4. Step 4: Simplify right side
    101,110,935.50x = 47,454,823,489,879,680
  5. Step 5: Solve for x
    x = 47,454,823,489,879,680/101,110,935.50
  6. Step 6: Final answer
    x = 469,334,234.28

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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.