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Finding the Third Proportional to 276,100,020 and 439,541,658

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Solution

The third proportional to 276,100,020 and 439,541,658 is: 699,735,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,100,020 : 439,541,658 = 439,541,658 : x
  2. Step 2: Convert to fraction form
    276,100,020/439,541,658 = 439,541,658/x
  3. Step 3: Cross multiply
    276,100,020x = 439,541,658 × 439,541,658
  4. Step 4: Simplify right side
    276,100,020x = 193,196,869,117,388,960
  5. Step 5: Solve for x
    x = 193,196,869,117,388,960/276,100,020
  6. Step 6: Final answer
    x = 699,735,078.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.