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Finding the Third Proportional to 310,848 and 677,904

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Solution

The third proportional to 310,848 and 677,904 is: 1,478,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,848 : 677,904 = 677,904 : x
  2. Step 2: Convert to fraction form
    310,848/677,904 = 677,904/x
  3. Step 3: Cross multiply
    310,848x = 677,904 × 677,904
  4. Step 4: Simplify right side
    310,848x = 459,553,833,216
  5. Step 5: Solve for x
    x = 459,553,833,216/310,848
  6. Step 6: Final answer
    x = 1,478,387.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.