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Finding the Third Proportional to 277,515 and 417,487.50

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Solution

The third proportional to 277,515 and 417,487.50 is: 628,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,515 : 417,487.50 = 417,487.50 : x
  2. Step 2: Convert to fraction form
    277,515/417,487.50 = 417,487.50/x
  3. Step 3: Cross multiply
    277,515x = 417,487.50 × 417,487.50
  4. Step 4: Simplify right side
    277,515x = 174,295,812,656.25
  5. Step 5: Solve for x
    x = 174,295,812,656.25/277,515
  6. Step 6: Final answer
    x = 628,059.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.