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Finding the Third Proportional to 150,560.50 and 334,335

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Solution

The third proportional to 150,560.50 and 334,335 is: 742,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,560.50 : 334,335 = 334,335 : x
  2. Step 2: Convert to fraction form
    150,560.50/334,335 = 334,335/x
  3. Step 3: Cross multiply
    150,560.50x = 334,335 × 334,335
  4. Step 4: Simplify right side
    150,560.50x = 111,779,892,225
  5. Step 5: Solve for x
    x = 111,779,892,225/150,560.50
  6. Step 6: Final answer
    x = 742,425.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.