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Finding the Third Proportional to 7,688,670 and 16,912,128

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Solution

The third proportional to 7,688,670 and 16,912,128 is: 37,200,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688,670 : 16,912,128 = 16,912,128 : x
  2. Step 2: Convert to fraction form
    7,688,670/16,912,128 = 16,912,128/x
  3. Step 3: Cross multiply
    7,688,670x = 16,912,128 × 16,912,128
  4. Step 4: Simplify right side
    7,688,670x = 286,020,073,488,384
  5. Step 5: Solve for x
    x = 286,020,073,488,384/7,688,670
  6. Step 6: Final answer
    x = 37,200,201.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.