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Finding the Third Proportional to 172,400,724 and 258,347,664

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Solution

The third proportional to 172,400,724 and 258,347,664 is: 387,141,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,400,724 : 258,347,664 = 258,347,664 : x
  2. Step 2: Convert to fraction form
    172,400,724/258,347,664 = 258,347,664/x
  3. Step 3: Cross multiply
    172,400,724x = 258,347,664 × 258,347,664
  4. Step 4: Simplify right side
    172,400,724x = 66,743,515,494,256,896
  5. Step 5: Solve for x
    x = 66,743,515,494,256,896/172,400,724
  6. Step 6: Final answer
    x = 387,141,735.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.