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Finding the Third Proportional to 438,820,040 and 913,960,956

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Solution

The third proportional to 438,820,040 and 913,960,956 is: 1,903,569,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,820,040 : 913,960,956 = 913,960,956 : x
  2. Step 2: Convert to fraction form
    438,820,040/913,960,956 = 913,960,956/x
  3. Step 3: Cross multiply
    438,820,040x = 913,960,956 × 913,960,956
  4. Step 4: Simplify right side
    438,820,040x = 835,324,629,092,433,920
  5. Step 5: Solve for x
    x = 835,324,629,092,433,920/438,820,040
  6. Step 6: Final answer
    x = 1,903,569,921.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.