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Finding the Third Proportional to 411,550.50 and 618,421.50

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Solution

The third proportional to 411,550.50 and 618,421.50 is: 929,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,550.50 : 618,421.50 = 618,421.50 : x
  2. Step 2: Convert to fraction form
    411,550.50/618,421.50 = 618,421.50/x
  3. Step 3: Cross multiply
    411,550.50x = 618,421.50 × 618,421.50
  4. Step 4: Simplify right side
    411,550.50x = 382,445,151,662.25
  5. Step 5: Solve for x
    x = 382,445,151,662.25/411,550.50
  6. Step 6: Final answer
    x = 929,278.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.