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Finding the Third Proportional to 61,506 and 133,213.50

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Solution

The third proportional to 61,506 and 133,213.50 is: 288,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,506 : 133,213.50 = 133,213.50 : x
  2. Step 2: Convert to fraction form
    61,506/133,213.50 = 133,213.50/x
  3. Step 3: Cross multiply
    61,506x = 133,213.50 × 133,213.50
  4. Step 4: Simplify right side
    61,506x = 17,745,836,582.25
  5. Step 5: Solve for x
    x = 17,745,836,582.25/61,506
  6. Step 6: Final answer
    x = 288,522.04

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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.