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Finding the Third Proportional to 72,800,640 and 109,662,336

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Solution

The third proportional to 72,800,640 and 109,662,336 is: 165,188,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,800,640 : 109,662,336 = 109,662,336 : x
  2. Step 2: Convert to fraction form
    72,800,640/109,662,336 = 109,662,336/x
  3. Step 3: Cross multiply
    72,800,640x = 109,662,336 × 109,662,336
  4. Step 4: Simplify right side
    72,800,640x = 12,025,827,936,976,896
  5. Step 5: Solve for x
    x = 12,025,827,936,976,896/72,800,640
  6. Step 6: Final answer
    x = 165,188,491.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.