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Finding the Third Proportional to 388,418,976 and 832,240,615.50

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Solution

The third proportional to 388,418,976 and 832,240,615.50 is: 1,783,188,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,418,976 : 832,240,615.50 = 832,240,615.50 : x
  2. Step 2: Convert to fraction form
    388,418,976/832,240,615.50 = 832,240,615.50/x
  3. Step 3: Cross multiply
    388,418,976x = 832,240,615.50 × 832,240,615.50
  4. Step 4: Simplify right side
    388,418,976x = 692,624,442,087,818,880
  5. Step 5: Solve for x
    x = 692,624,442,087,818,880/388,418,976
  6. Step 6: Final answer
    x = 1,783,188,991.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.