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Finding the Third Proportional to 92,976 and 200,710.50

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Solution

The third proportional to 92,976 and 200,710.50 is: 433,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,976 : 200,710.50 = 200,710.50 : x
  2. Step 2: Convert to fraction form
    92,976/200,710.50 = 200,710.50/x
  3. Step 3: Cross multiply
    92,976x = 200,710.50 × 200,710.50
  4. Step 4: Simplify right side
    92,976x = 40,284,704,810.25
  5. Step 5: Solve for x
    x = 40,284,704,810.25/92,976
  6. Step 6: Final answer
    x = 433,280.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.