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Finding the Third Proportional to 388,416,945 and 832,236,613

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Solution

The third proportional to 388,416,945 and 832,236,613 is: 1,783,181,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,416,945 : 832,236,613 = 832,236,613 : x
  2. Step 2: Convert to fraction form
    388,416,945/832,236,613 = 832,236,613/x
  3. Step 3: Cross multiply
    388,416,945x = 832,236,613 × 832,236,613
  4. Step 4: Simplify right side
    388,416,945x = 692,617,780,017,711,744
  5. Step 5: Solve for x
    x = 692,617,780,017,711,744/388,416,945
  6. Step 6: Final answer
    x = 1,783,181,163.78

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1.5x scale

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.