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Finding the Third Proportional to 310,442 and 681,848

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Solution

The third proportional to 310,442 and 681,848 is: 1,497,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,442 : 681,848 = 681,848 : x
  2. Step 2: Convert to fraction form
    310,442/681,848 = 681,848/x
  3. Step 3: Cross multiply
    310,442x = 681,848 × 681,848
  4. Step 4: Simplify right side
    310,442x = 464,916,695,104
  5. Step 5: Solve for x
    x = 464,916,695,104/310,442
  6. Step 6: Final answer
    x = 1,497,595.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.