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Finding the Third Proportional to 65,688.31 and 143,644.32

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Solution

The third proportional to 65,688.31 and 143,644.32 is: 314,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,688.31 : 143,644.32 = 143,644.32 : x
  2. Step 2: Convert to fraction form
    65,688.31/143,644.32 = 143,644.32/x
  3. Step 3: Cross multiply
    65,688.31x = 143,644.32 × 143,644.32
  4. Step 4: Simplify right side
    65,688.31x = 20,633,691,880.26
  5. Step 5: Solve for x
    x = 20,633,691,880.26/65,688.31
  6. Step 6: Final answer
    x = 314,115.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.