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Finding the Third Proportional to 251,511 and 380,515.50

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Solution

The third proportional to 251,511 and 380,515.50 is: 575,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,511 : 380,515.50 = 380,515.50 : x
  2. Step 2: Convert to fraction form
    251,511/380,515.50 = 380,515.50/x
  3. Step 3: Cross multiply
    251,511x = 380,515.50 × 380,515.50
  4. Step 4: Simplify right side
    251,511x = 144,792,045,740.25
  5. Step 5: Solve for x
    x = 144,792,045,740.25/251,511
  6. Step 6: Final answer
    x = 575,688.72

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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.