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Finding the Third Proportional to 258,018,760 and 557,083,280

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Solution

The third proportional to 258,018,760 and 557,083,280 is: 1,202,787,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,018,760 : 557,083,280 = 557,083,280 : x
  2. Step 2: Convert to fraction form
    258,018,760/557,083,280 = 557,083,280/x
  3. Step 3: Cross multiply
    258,018,760x = 557,083,280 × 557,083,280
  4. Step 4: Simplify right side
    258,018,760x = 310,341,780,855,558,400
  5. Step 5: Solve for x
    x = 310,341,780,855,558,400/258,018,760
  6. Step 6: Final answer
    x = 1,202,787,661.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.