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Finding the Third Proportional to 400,419 and 539,338.50

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Solution

The third proportional to 400,419 and 539,338.50 is: 726,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,419 : 539,338.50 = 539,338.50 : x
  2. Step 2: Convert to fraction form
    400,419/539,338.50 = 539,338.50/x
  3. Step 3: Cross multiply
    400,419x = 539,338.50 × 539,338.50
  4. Step 4: Simplify right side
    400,419x = 290,886,017,582.25
  5. Step 5: Solve for x
    x = 290,886,017,582.25/400,419
  6. Step 6: Final answer
    x = 726,454.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.