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Finding the Third Proportional to 61,077.25 and 93,432.50

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Solution

The third proportional to 61,077.25 and 93,432.50 is: 142,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,077.25 : 93,432.50 = 93,432.50 : x
  2. Step 2: Convert to fraction form
    61,077.25/93,432.50 = 93,432.50/x
  3. Step 3: Cross multiply
    61,077.25x = 93,432.50 × 93,432.50
  4. Step 4: Simplify right side
    61,077.25x = 8,729,632,056.25
  5. Step 5: Solve for x
    x = 8,729,632,056.25/61,077.25
  6. Step 6: Final answer
    x = 142,927.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.