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Finding the Third Proportional to 155,180,091 and 258,622,663.50

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Solution

The third proportional to 155,180,091 and 258,622,663.50 is: 431,019,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,180,091 : 258,622,663.50 = 258,622,663.50 : x
  2. Step 2: Convert to fraction form
    155,180,091/258,622,663.50 = 258,622,663.50/x
  3. Step 3: Cross multiply
    155,180,091x = 258,622,663.50 × 258,622,663.50
  4. Step 4: Simplify right side
    155,180,091x = 66,885,682,075,834,232
  5. Step 5: Solve for x
    x = 66,885,682,075,834,232/155,180,091
  6. Step 6: Final answer
    x = 431,019,737.42

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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.