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Finding the Third Proportional to 421,240.50 and 650,511

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Solution

The third proportional to 421,240.50 and 650,511 is: 1,004,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,240.50 : 650,511 = 650,511 : x
  2. Step 2: Convert to fraction form
    421,240.50/650,511 = 650,511/x
  3. Step 3: Cross multiply
    421,240.50x = 650,511 × 650,511
  4. Step 4: Simplify right side
    421,240.50x = 423,164,561,121
  5. Step 5: Solve for x
    x = 423,164,561,121/421,240.50
  6. Step 6: Final answer
    x = 1,004,567.61

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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.