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Finding the Third Proportional to 29,280 and 43,840.50

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Solution

The third proportional to 29,280 and 43,840.50 is: 65,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,280 : 43,840.50 = 43,840.50 : x
  2. Step 2: Convert to fraction form
    29,280/43,840.50 = 43,840.50/x
  3. Step 3: Cross multiply
    29,280x = 43,840.50 × 43,840.50
  4. Step 4: Simplify right side
    29,280x = 1,921,989,440.25
  5. Step 5: Solve for x
    x = 1,921,989,440.25/29,280
  6. Step 6: Final answer
    x = 65,641.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.