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Finding the Third Proportional to 400,420.50 and 539,340

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Solution

The third proportional to 400,420.50 and 539,340 is: 726,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,420.50 : 539,340 = 539,340 : x
  2. Step 2: Convert to fraction form
    400,420.50/539,340 = 539,340/x
  3. Step 3: Cross multiply
    400,420.50x = 539,340 × 539,340
  4. Step 4: Simplify right side
    400,420.50x = 290,887,635,600
  5. Step 5: Solve for x
    x = 290,887,635,600/400,420.50
  6. Step 6: Final answer
    x = 726,455.40

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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.