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Finding the Third Proportional to 536,188.50 and 786,240

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Solution

The third proportional to 536,188.50 and 786,240 is: 1,152,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,188.50 : 786,240 = 786,240 : x
  2. Step 2: Convert to fraction form
    536,188.50/786,240 = 786,240/x
  3. Step 3: Cross multiply
    536,188.50x = 786,240 × 786,240
  4. Step 4: Simplify right side
    536,188.50x = 618,173,337,600
  5. Step 5: Solve for x
    x = 618,173,337,600/536,188.50
  6. Step 6: Final answer
    x = 1,152,903.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.