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Finding the Third Proportional to 540,384 and 810,864

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Solution

The third proportional to 540,384 and 810,864 is: 1,216,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,384 : 810,864 = 810,864 : x
  2. Step 2: Convert to fraction form
    540,384/810,864 = 810,864/x
  3. Step 3: Cross multiply
    540,384x = 810,864 × 810,864
  4. Step 4: Simplify right side
    540,384x = 657,500,426,496
  5. Step 5: Solve for x
    x = 657,500,426,496/540,384
  6. Step 6: Final answer
    x = 1,216,728.15

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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.