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Finding the Third Proportional to 349,224,836 and 760,451,128

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Solution

The third proportional to 349,224,836 and 760,451,128 is: 1,655,912,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,224,836 : 760,451,128 = 760,451,128 : x
  2. Step 2: Convert to fraction form
    349,224,836/760,451,128 = 760,451,128/x
  3. Step 3: Cross multiply
    349,224,836x = 760,451,128 × 760,451,128
  4. Step 4: Simplify right side
    349,224,836x = 578,285,918,076,472,320
  5. Step 5: Solve for x
    x = 578,285,918,076,472,320/349,224,836
  6. Step 6: Final answer
    x = 1,655,912,920.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.