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Finding the Third Proportional to 65,643.75 and 143,869.50

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Solution

The third proportional to 65,643.75 and 143,869.50 is: 315,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643.75 : 143,869.50 = 143,869.50 : x
  2. Step 2: Convert to fraction form
    65,643.75/143,869.50 = 143,869.50/x
  3. Step 3: Cross multiply
    65,643.75x = 143,869.50 × 143,869.50
  4. Step 4: Simplify right side
    65,643.75x = 20,698,433,030.25
  5. Step 5: Solve for x
    x = 20,698,433,030.25/65,643.75
  6. Step 6: Final answer
    x = 315,314.60

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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.