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Finding the Third Proportional to 511,696,018 and 729,270,555

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Solution

The third proportional to 511,696,018 and 729,270,555 is: 1,039,358,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,696,018 : 729,270,555 = 729,270,555 : x
  2. Step 2: Convert to fraction form
    511,696,018/729,270,555 = 729,270,555/x
  3. Step 3: Cross multiply
    511,696,018x = 729,270,555 × 729,270,555
  4. Step 4: Simplify right side
    511,696,018x = 531,835,542,390,008,000
  5. Step 5: Solve for x
    x = 531,835,542,390,008,000/511,696,018
  6. Step 6: Final answer
    x = 1,039,358,376.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.