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Finding the Third Proportional to 310,468 and 679,052

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Solution

The third proportional to 310,468 and 679,052 is: 1,485,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,468 : 679,052 = 679,052 : x
  2. Step 2: Convert to fraction form
    310,468/679,052 = 679,052/x
  3. Step 3: Cross multiply
    310,468x = 679,052 × 679,052
  4. Step 4: Simplify right side
    310,468x = 461,111,618,704
  5. Step 5: Solve for x
    x = 461,111,618,704/310,468
  6. Step 6: Final answer
    x = 1,485,214.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.