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Finding the Third Proportional to 400,415 and 539,332

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Solution

The third proportional to 400,415 and 539,332 is: 726,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,415 : 539,332 = 539,332 : x
  2. Step 2: Convert to fraction form
    400,415/539,332 = 539,332/x
  3. Step 3: Cross multiply
    400,415x = 539,332 × 539,332
  4. Step 4: Simplify right side
    400,415x = 290,879,006,224
  5. Step 5: Solve for x
    x = 290,879,006,224/400,415
  6. Step 6: Final answer
    x = 726,443.83

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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.