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Finding the Third Proportional to 98,130 and 151,015.50

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Solution

The third proportional to 98,130 and 151,015.50 is: 232,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,130 : 151,015.50 = 151,015.50 : x
  2. Step 2: Convert to fraction form
    98,130/151,015.50 = 151,015.50/x
  3. Step 3: Cross multiply
    98,130x = 151,015.50 × 151,015.50
  4. Step 4: Simplify right side
    98,130x = 22,805,681,240.25
  5. Step 5: Solve for x
    x = 22,805,681,240.25/98,130
  6. Step 6: Final answer
    x = 232,402.74

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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.