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Finding the Third Proportional to 98,136 and 151,051.50

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Solution

The third proportional to 98,136 and 151,051.50 is: 232,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,136 : 151,051.50 = 151,051.50 : x
  2. Step 2: Convert to fraction form
    98,136/151,051.50 = 151,051.50/x
  3. Step 3: Cross multiply
    98,136x = 151,051.50 × 151,051.50
  4. Step 4: Simplify right side
    98,136x = 22,816,555,652.25
  5. Step 5: Solve for x
    x = 22,816,555,652.25/98,136
  6. Step 6: Final answer
    x = 232,499.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.