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Finding the Third Proportional to 7,620,912 and 16,438,320

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Solution

The third proportional to 7,620,912 and 16,438,320 is: 35,457,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620,912 : 16,438,320 = 16,438,320 : x
  2. Step 2: Convert to fraction form
    7,620,912/16,438,320 = 16,438,320/x
  3. Step 3: Cross multiply
    7,620,912x = 16,438,320 × 16,438,320
  4. Step 4: Simplify right side
    7,620,912x = 270,218,364,422,400
  5. Step 5: Solve for x
    x = 270,218,364,422,400/7,620,912
  6. Step 6: Final answer
    x = 35,457,483.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.