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Finding the Third Proportional to 65,562 and 142,220

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Solution

The third proportional to 65,562 and 142,220 is: 308,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,562 : 142,220 = 142,220 : x
  2. Step 2: Convert to fraction form
    65,562/142,220 = 142,220/x
  3. Step 3: Cross multiply
    65,562x = 142,220 × 142,220
  4. Step 4: Simplify right side
    65,562x = 20,226,528,400
  5. Step 5: Solve for x
    x = 20,226,528,400/65,562
  6. Step 6: Final answer
    x = 308,509.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.