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Finding the Third Proportional to 340,509.75 and 477,214.13

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Solution

The third proportional to 340,509.75 and 477,214.13 is: 668,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,509.75 : 477,214.13 = 477,214.13 : x
  2. Step 2: Convert to fraction form
    340,509.75/477,214.13 = 477,214.13/x
  3. Step 3: Cross multiply
    340,509.75x = 477,214.13 × 477,214.13
  4. Step 4: Simplify right side
    340,509.75x = 227,733,321,099.52
  5. Step 5: Solve for x
    x = 227,733,321,099.52/340,509.75
  6. Step 6: Final answer
    x = 668,801.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.