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Finding the Third Proportional to 155,179,988 and 258,622,511

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Solution

The third proportional to 155,179,988 and 258,622,511 is: 431,019,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,179,988 : 258,622,511 = 258,622,511 : x
  2. Step 2: Convert to fraction form
    155,179,988/258,622,511 = 258,622,511/x
  3. Step 3: Cross multiply
    155,179,988x = 258,622,511 × 258,622,511
  4. Step 4: Simplify right side
    155,179,988x = 66,885,603,195,945,120
  5. Step 5: Solve for x
    x = 66,885,603,195,945,120/155,179,988
  6. Step 6: Final answer
    x = 431,019,515.20

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.