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Finding the Third Proportional to 30,447 and 65,740.50

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Solution

The third proportional to 30,447 and 65,740.50 is: 141,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447 : 65,740.50 = 65,740.50 : x
  2. Step 2: Convert to fraction form
    30,447/65,740.50 = 65,740.50/x
  3. Step 3: Cross multiply
    30,447x = 65,740.50 × 65,740.50
  4. Step 4: Simplify right side
    30,447x = 4,321,813,340.25
  5. Step 5: Solve for x
    x = 4,321,813,340.25/30,447
  6. Step 6: Final answer
    x = 141,945.46

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Why These Related Problems?

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