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Finding the Third Proportional to 192,799,128 and 293,716,224

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Solution

The third proportional to 192,799,128 and 293,716,224 is: 447,456,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,799,128 : 293,716,224 = 293,716,224 : x
  2. Step 2: Convert to fraction form
    192,799,128/293,716,224 = 293,716,224/x
  3. Step 3: Cross multiply
    192,799,128x = 293,716,224 × 293,716,224
  4. Step 4: Simplify right side
    192,799,128x = 86,269,220,240,818,176
  5. Step 5: Solve for x
    x = 86,269,220,240,818,176/192,799,128
  6. Step 6: Final answer
    x = 447,456,485.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.