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Finding the Third Proportional to 260,487 and 401,110.50

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Solution

The third proportional to 260,487 and 401,110.50 is: 617,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,487 : 401,110.50 = 401,110.50 : x
  2. Step 2: Convert to fraction form
    260,487/401,110.50 = 401,110.50/x
  3. Step 3: Cross multiply
    260,487x = 401,110.50 × 401,110.50
  4. Step 4: Simplify right side
    260,487x = 160,889,633,210.25
  5. Step 5: Solve for x
    x = 160,889,633,210.25/260,487
  6. Step 6: Final answer
    x = 617,649.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.