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Finding the Third Proportional to 61,820 and 133,495

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Solution

The third proportional to 61,820 and 133,495 is: 288,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,820 : 133,495 = 133,495 : x
  2. Step 2: Convert to fraction form
    61,820/133,495 = 133,495/x
  3. Step 3: Cross multiply
    61,820x = 133,495 × 133,495
  4. Step 4: Simplify right side
    61,820x = 17,820,915,025
  5. Step 5: Solve for x
    x = 17,820,915,025/61,820
  6. Step 6: Final answer
    x = 288,271.03

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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.