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Finding the Third Proportional to 272,511 and 411,223.50

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Solution

The third proportional to 272,511 and 411,223.50 is: 620,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,511 : 411,223.50 = 411,223.50 : x
  2. Step 2: Convert to fraction form
    272,511/411,223.50 = 411,223.50/x
  3. Step 3: Cross multiply
    272,511x = 411,223.50 × 411,223.50
  4. Step 4: Simplify right side
    272,511x = 169,104,766,952.25
  5. Step 5: Solve for x
    x = 169,104,766,952.25/272,511
  6. Step 6: Final answer
    x = 620,542.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.